​Evaluate:   ∫24x^5 dx = ____ ​(Use C as the arbitrary​ constant.)

Q: Solve the equation

A: To solve the equation: logx2=log-3x-2 Solution: We know that if logax=n then x=an. Property of…

Q: Simplify the expression.   ln 2 - ln x + ln 3

A: Given: Log 2 - log x +log 3

Q: Solve the equation for x.  ln 3x = ln 5

A: Solving for xln3x=ln5

Q: Solve the equation ln ex = 5

A: ln ex=5

Q: log 57 %3D

A:

Q: Solve the equation for x. 2 ln x = 7

A: Given equation is: 2 ln x=7 We have to solve for x.

Q: Simplify the expressions in Exercise

A: Given: a  log9xlog3x b log10xlog2x  c  logablogba

Q: Log(2 – 5i) Evaluate:

A: Introduction: The logarithm of a complex number can also be calculated. The obtained result is again…

Q: in terms of exponentials Rewrite the expressions in Exercises and simplify the results as much as…

A: Solution:Given5. 2 cosh(lnx)6.sinh(2 ln x)7.  cosh5x+sinh5xFormula:sinhx=ex-e-x2coshx=ex+e-x2

Q: Solve log 99. log3 243 = 2x + 1 100. log6 36 = 5x + 3 97. log4 64 = x 5 625 = x

A: We know that, from the property of logarithm, logaam=mlogaa=m (99) We have the given term as…

Q: Hearing High-pitched tones that young people canhear at 30 decibels must be produced at 90…

A: Consider the given: The intensity of sound that a young people can hear is 30 dB.Elder people can…

Q: Solve: ln x = ln(x + 6)- ln(x - 4)

A: The properties of logarithms can be used to solve the problem. Now, it is observed that the…

Q: Example: Simplify y = ln- (5* x)

A: Above question is simplified.

Q: A strong earthquake in Samar released 8.30x10^15 joules of Energy. What is the magnitude of the…

A:

Q: Give an example of exponential equation and its inverse

A: Consider the equation  ex-1=0 Which is an exponential equation.

Q: Solve ln x - 32 ln x + 2 = 0

A: Given: lnx-32lnx+2=0 For finding value of x, we simplify given expression

Q: Without showing the details, explain how to condense ln x - 2 ln(x + 1).

A: Given: lnx-2lnx+1

Q: Use the result to find t if the corporation needs $850,000 and it can invest $75,000 per year in a…

A: Given data is: A=850000P=75000r=0.03                 …In decimal 3%=3100=0.03 To find the value of t

Q: Combine into a single logarithm.

A: The three logarithmic properties to be used are: a) clogba=logbac b) logba-logbd=logba/d c)…

Q: log5 (x – 6) + log5(x + 3) = log5 10 %3D

A: Given  log5(x-6) + log5(x+3) = log510

Q: Find the maximum area of a rectangle in the first quadrant with one corner at the origin, an…

A: To Find the maximum area of a rectangle in the first quadrant with one corner at the origin, an…

Q: Simplify the expression.  ln 5 + ln x

A: Given expression: ln 5 + ln x

Q: How long will it take for $4000 to double in value if it is deposited in an account bearing 7%…

A: Let the time taken be t years

Q: Solve equation .Round decimal answers to four decimal places. ln (x + 1) - ln x = 1

A: Given: lnx+1-lnx=1

Q: log4(x2 − x − 8) = 2 find the exact value

A: We have to find the value of given equation, log4(x2 -x -8) = 2

Q: Solve ln 4 + ln 2log 4 + log 2

A:

Q: half life of radium is 1690 years. if 60 grams are present now how much will be present in 300 years

A:

Q: 5 = log(100,000) in exponential form equation

A: Given logarithmic equation is log100,000=5

Q: Use the One-to-One Property to solve the equation for x.   ln(x − 4) = ln 5

A:

Q: You invest $500 at an annual interest rate of 5.25% compound continuously. How long will it take…

A: Formula of compound  continuously interest : A=P*ert where  P= amount invested A=final amount…

Q: [1/csch(Inx)]+[Sinh(Inx)] write the final result as simply as you can? (Use exponentials term) *

A: Use formula in terms of exponential

Q: log = 100x. %3D solve for the value of x in the following equation: x"

A:

Q: Simplify and condense 2(ln(x)-ln(x+1)+3/2ln(x-1))

A: 2(ln(x)-ln(x+1)+32ln(x-1))=2lnxx+1+lnx-132

Q: Given: ex - LN(x) = 4. If x = 0.05 is one solution for the equation, use a graphing calculator to…

A:

Q: log(3x) + log(3x)

A: log(m)+log(n) =log(mn) Product law of logarithm

Q: log2 (7x + 1) = log2 (3x + 9)

A:

Q: log, (9x +30x + 25) = 8 %3D

A: Given,          log29x2+30x+25=8

Q: 5.25 V125-V5. V625 log:

A: log1253.5.6255  53. 25  = ?Let   log1253.5.6255  53. 25 = loga ba = 1253.5.6255b = 53. 25

Q: True or false? ln(10^x)=x

A:

Q: Solve for x 4+ln(x-3)=2 Do not round any intermediate computations, and round your answer to the…

A: Given equation is 4+lnx-3=2. We have to solve this equation for the variable x. First we will…

Q: solve for the unknown. ln(x4) − ln(x2) = 2

A: Use this property of log: Then combine like terms

Q: Solve the equation ln(ln x) = 0. Check proposed solution by direct substitution or with a graphing…

A: Given equation is ln(ln x) = 0.

Q: You invest $100 in the bank for 7 years at a 9.34% interest compound continuously. How much interest…

A:

Q: loga (MN) = ____________ + _________ .

A:

Q: please could someone solve this for x -415000 =8.314* 1073* ln x

A:

Q: ln ex = log1313x

A:

Q: Convert: ln 30= 3.4012 to an exponential equation

A:

Q: log432 +2092 =?

A: We now that logbx=y.