E. The expression log(3 + x) is undefined for what values of x?

Q: Use the definition of logarithms to completely simplify. log, (v3)

A: The given logarithmic function is  log33. Solution:  Rule of Logarithms, logabn = nlogab…

Q: . In the definition of the logarithmic function, the base a is notallowed to equal 1. Why?

A: In the definition of the logarithmic function, the base a is not   allowed to equal 1. Why?

Q: if Log(z) is the principle value of the complex logarithmic function, what is the imaginary part…

A:

Q: Evaluate value of the following log9 x log3 x

A:

Q: for which value of x is the expression log7(2x-3) undefined

A: The logarithm function log(x) is defined only for x>0. So the  logarithm of a negative number  is…

Q: 1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2) Given that log, 5 = n find the value of 27"

A: we use logarithmic properties to solve Question number 2

Q: Evaluate the expression without using a calculator. log 2 ( log 33)

A:

Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

A:

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: The domain for the LOG function does not include which of the following. O 0 negatives O 0 or…

A:

Q: What is b if (logb x)' = -1/3x

A:

Q: Evaluate the following: log, a Find y in terms of x for In(y+1)=2– 3 In.x

A:

Q: 7.evaluate the following expression without using a calculator  log7^7 log7^7=

A:

Q: Evaluate the expression without using a calculator. log 25 + log 4

A: To evaluate the value of the expression: log(25)+log(4) Solution: Given expression is:log(25)+log(4)…

Q: The unwritten base of log(x) is and the unwritten base for In(x) is

A: Here is the solution

Q: The power property of logarithms states that for any real number p, log, x = , positive real numbers…

A: The logarithmic properties are useful because they allow us to expand or simplify  the logarithmic…

Q: log (3x2y) ≈ ___. (Write an integer or a decimal.)

A:

Q: Find the largest value of x that satisfies: log, (a?) – log, (x + 2) = 3

A: log6(x2)-log6(x+2)=3

Q: The change-of-base formula states that logb x can be written as a ratio of logarithms with base a as…

A: Change of base formula:

Q: The correct expresssion for log is.. . x+8

A: Given the expression is log x4x+8 To simplify the given expression:-

Q: Given that x > 0, the value of x for which log, x + log,(6x + 10) = 1 is %3D

A:

Q: Expand the following logarithmic expression as much as possible: (x + 3)*(x² – 4) V5 – x - In

A:

Q: Evaluate the expression without using a calculator. 1 log 7 7

A:

Q: Evaluate the following expression without using a calculator. log s6

A:

Q: What are the domain and range of f(x)=log x -5

A: f(x) = log(x - 5)   Note : the domain of log(x) is the set of all positive real numbers. And, the…

Q: Evaluate the expression without using a calculator. loga 1/a

A: we have to evaluate the expression without using the calculator. loga1a

Q: Solve for all values of x log, (x + 3x + 18) = 2

A:

Q: If log, (x +x) – log, (x + 1) = 2, then the value of x is

A: Use the properties of lograthim.

Q: The change-of-base formula states that log, x can be written as a ratio of logarithms with base a as…

A: We have to change the base of the given logarithm  we have,  logbx

Q: Which of the following is equivalent to the expression log

A:

Q: If log.32 = 5, what is the value of x?

A:

Q: Assume log x= 0.76 and log by=0.34. Evaluate the following expression. log b

A: To find:

Q: Evaluate the expression without using a calculator. log 4 (log 6) log 4 (log 66)=

A:

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: c) In(4t*) –…

A: To simplify12ln(4t4)-ln2

Q: what is b if ( log b x) ' = 1/3x

A: Concept: Derivative of log(x) is  logx' logx'=1xln(10)....................(as log is default base…

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: Evaluate the expression without using a calculator log3(log7 7).

A:

Q: Recall the change-of-base formula. log,(x) log,(a) log,(x) =

A: Explanation and solutions is given below....

Q: Assume you need to calculate   log b N ,  but your calculator has only a   log w     button. Derive…

A: We have to derive the formula for logbN in terms of logw.

Q: Evaluate the expression without using a calculator: log3(log7 7)

A: Given: log3log7 7

Q: . If log,c 4 and log.b 6, what is the value of d if log.a' d?

A: For the solution follow the next step.

Q: For what values of x is the equation  logb x8 = 8 logb x  true?

A:

Q: What is the base of the logarithm in the expression log(x+7)−5

A:

Q: log,(9x) – 2 log, (7) = 0

A:

Q: When you consider loga x to be a constant multiple of logb x, the constant multiplier is ________.

A: Given: If logax is constant multiple of logbx. To find the constant multiplier. Solution: Let the…

Q: do the following calculations without using a calculator. log(10,000) log(0.001) log3(1/9)…

A: 1. log(10,000) It is calculated as follows: log(10,000)=log104 Apply the log rule: logaax=x So,…

Q: What is the 2log, 5+ log; 4 written as a single logarithm? (A) log; 40 (B) log; 29 (C) log; 100 (D)…

A:

Q: For Exercise, simplify the expression without using a calculator. logy51

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.