Problem 1RE: Determine whether the function y=156(0.825)t represents exponential growth exponential decay,... Problem 2RE: The population of a herd of deer is represented bythe function A(t)=205(1.13)t , where tis given... Problem 3RE: Find an exponential equation that passes through the points (2,2.25) and (5,60.75). Problem 4RE: Determine whether Table 1 could represent a function that is linear, exponential, or neither. If it... Problem 5RE: A retirement account is opened with an initialdeposit of 8,500 and earns 8.12 interest compounded... Problem 6RE: Hsu-Mei wants to save 5,000 for a down paymenton a car. To the nearest dollar, how much will sheneed... Problem 7RE: Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain. Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25... Problem 9RE: Graph the function f(x)=3.5(2)x. State the domainand range and give the y-intercept. Problem 10RE: Graph the function f(x)=4(18)x and its reflectionabout the y-axis on the same axes,... Problem 11RE: The graph of f(x)=6.5x is reflected about the y-axis and stretched vertically by a factor of 7. What... Problem 12RE: The graph below shows transformations of the graph of f(x)=2x. What is the equation for the... Problem 13RE: Rewrite log17(4913)=x as an equivalent exponentialequation. Problem 14RE: Rewrite ln(s)=t as an equivalent exponentialequation. Problem 15RE: Rewrite a25=b as an equivalent logarithmicequation. Problem 16RE: Rewrite e3.5=h as an equivalent logarithmicequation. Problem 17RE: Solve for xlog64(x)=(13) to exponential form. Problem 18RE: Evaluate log5(1125) without using a calculator. Problem 19RE: Evaluate log(0.000001) without using a calculator. Problem 20RE: Evaluate log(4.005) using a calculator. Round to thenearest thousandth. Problem 21RE: Evaluate ln(e0.8648) without using a calculator. Problem 22RE: Evaluate ln(183) using a calculator. Round to thenearest thousandth. Problem 23RE: Graph the function g(x)=log(7x+21)4. Problem 24RE: Graph the function h(x)=2ln(93x)+1. Problem 25RE: State the domain, vertical asymptote, and endbehavior of the function g(x)=ln(4x+20)17. Problem 26RE: Rewrite ln(7r11st) in expanded form. Problem 27RE: Rewrite log8(x)+log8(5)+log8(y)+log8(13) incompact form. Problem 28RE: Rewrite logm(6783) in expanded form. Problem 29RE: Rewrite ln(z)ln(x)ln(y) in compact form. Problem 30RE: Rewrite ln(1x5) as. a product. Problem 31RE: Rewrite logy(112) as a single logarithm. Problem 32RE: Use properties of logarithm to expand log(r2s11t14). Problem 33RE: Use properties of logarithms to expand ln(2bb+1b1) Problem 34RE: Condense the expression 5ln(b)+ln(c)+ln(4a)2 to a single logarithm. Problem 35RE: Condense the expression 3log7v+6log7wlog7u3 to a single logarithm. Problem 36RE: Rewrite log3(12.75) to base e. Problem 37RE: Rewrite 512x17=125 as a logarithm.Then applythe change ofbase formula to solve for x using thecommon... Problem 38RE: Solve 2163x216x=363x+2 by rewriting each sidewith a common base. Problem 39RE: Solve 125(1625)x3=53 by rewriting each side with a common base. Problem 40RE: Use logarithms to find the exact solution for 7179x7=49. If there is no solution, write nosolution. Problem 41RE: Use logarithms to find the exact solution for 3e6n2+1=60. If there is no solution, write nosolution. Problem 42RE: Find the exact solution for 5e3x4=6. If there isno solution, write no solution. Problem 43RE: Find the exact solution for 2e5x29=56. Ifthere is no solution, write no solution. Problem 44RE: Find the exact solution for 52x3=7x+1. Ifthere isno solution, write no solution. Problem 45RE: Find the exact solution for e2xex110=0. Ifthere is no solution, write no solution. Problem 46RE: Use the definition of a logarithm to solve. 5log7(10n)=5. Problem 47RE: Use the definition of a logarithm to find the exactsolution for 9+6ln(a+3)=33. Problem 48RE: Use the one-to-one property of logarithms to find an exact solution for log8(7)+log8(4x)=log(5). If... Problem 49RE: Use the one-to-one property oflogarithms to findan exact solution for ln(5)+ln(5x25)=ln(56). Ifthere... Problem 50RE: The formula for measuring sound intensity indecibels D is defined by the equation D=10log (II0),... Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years.... Problem 52RE: Find the inverse function f1 for the exponential function f(x)=2ex+15. Problem 53RE: Find the inverse function f1 for the logarithmicfunction f(x)=0.25log2(x3+1). Problem 54RE: For the following exercises, use this scenario: A doctor prescribes 300 milligrams of a therapeutic... Problem 55RE: For the following exercises, use this scenario: A doctor prescribes 300 milligrams of a therapeutic... Problem 56RE: For the following exercises, use this scenario: A soup with an internal temperature of 350... Problem 57RE: For the following exercises, use this scenario: A soup with an internal temperature of 350... Problem 58RE: For the following exercises, use this scenario: The equation N(t)=12001+199e0.625t models the number... Problem 59RE: For the following exercises, use this scenario: The equation N(t)=12001+199e0.625t models the number... Problem 60RE: For the following exercises, use this scenario: The equation N(t)=12001+199e0.625t models the number... Problem 61RE: For the following exercises, enter the data from each table into a graphing calculator and graph the... Problem 62RE: For the following exercises, enter the data from each table into a graphing calculator and graph the... Problem 63RE: For the following exercises, enter the data from each table into a graphing calculator and graph the... Problem 64RE: What is the carrying capacity for a population modeled by the logistic equation... Problem 65RE: The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t... Problem 66RE: For the following exercises, use a graphing utility to create a scatter diagram of the data given in... Problem 67RE: For the following exercises, use a graphing utility to create a scatter diagram of the data given in... Problem 68RE: For the following exercises, use a graphing utility to create a scatter diagram of the data given in... Problem 1PT: The population of a pad of bottlenose dolphins ismodeled by the function A(t)=8(1.17)t, where... Problem 2PT: Find an exponential equation that passes throughthe points (0,4) and (2,9). Problem 3PT: Drew wants to save 2,500 to go to the nextWorld Cup. To the nearest dollar, how much willhe need to... Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded... Problem 5PT: Graph the function f(x)=5(0.5)x and its reflectionacross the y-axis on the same axes, and give... Problem 6PT: The graph below shows transformations of thegraph of f(x)=(12)x. What is the equation for... Problem 7PT: Rewrite log8.5(614.125)=a as an equivalentexponential equation. Problem 8PT: Rewrite e12=m as an equivalent logarithmicequation. Problem 9PT: Solve for x by converting the logarithmic equation log17(x)=2 to exponential form. Problem 10PT: Evaluate log(10,000,000) without using a calculator. Problem 11PT: Evaluate ln(0.716) using a calculator. Round to thenearest thousandth. Problem 12PT: Graph the function g(x)=log(126x)+3. Problem 13PT: State the domain, vertical asymptote, and endbehavior of the function f(x)=log5(3913x)+7. Problem 14PT: Rewrite log(17a2b) as a sum. Problem 15PT: Rewrite logt(96)logt(8) in compact form. Problem 16PT: Rewrite log8(a16) as a product. Problem 17PT: Use properties of logarithm to expand ln(y3z2x43). Problem 18PT: Condense the expression 4ln(c)+ln(d)+ln(a)3+ln(b+3)3 to a singlelogarithm Problem 19PT: Rewrite 163x5=1000 as a logarithm. Then applythe change of base formula to solve for x using... Problem 20PT: Solve (181)x1243=(19)3x1 rewriting eachside with a common base. Problem 21PT: Use logarithm to find the exact solution for 9e10a85=41. If there is no solution, writeno solution. Problem 22PT: Find the exact solution for 10e4x+2+5=56. If thereis no solution, write no solution. Problem 23PT: Find the exact solution for 5e4x14=64. Ifthere is no solution, write no solution. Problem 24PT: Find the exact solution for 2x3=62x1. If there isno solution, write no solution. Problem 25PT: Find the exact solution for e2xex72=0. If thereis no solution, write no solution. Problem 26PT: Use the definition ofa logarithm to find the exactsolution for 4log(2n)7=11. Problem 27PT: Use the one-to-one property of logarithms to find anexact solution for log(4x210)+log(3)=log(51) If... Problem 28PT: The formula for measuring sound intensityin decibels D is defined by the equation D=10log(II0) where... Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,... Problem 30PT: Write the formula found in the previous exerciseas an equivalent equation with base e. Express... Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina... Problem 32PT: The population of a wildlife habitat is modeledby the equation P(t)=3601+6.2e0.35t where t isgiven... Problem 33PT: Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine... Problem 34PT: The population of a lake of fish is modeled by the logistic equation P(t)=16,1201+25e0.75t, where t... Problem 35PT:
Problem 36PT:
Problem 37PT:
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![21. Nora inherited a savings account that was started by her grandmother
25 years ago. This scenario is modeled by the function A(t) = 5000(1.013)' *25,
where A(1) represents the value of the account, in dollars, 1 years after the
inheritance. Which function below is equivalent to A(t)?
(1) A(t) = 5000[(1.013')]²$
(2) A(t) = 5000[(1.013)'+(1.013)²³] (4) A(1) = 5000(1.013) (1.013)²5
(3) A(t) = (5000)' (1.013)25
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