Fill in each blank so that the resulting statement is true. The change-of-base property for logarithms allows a logairthm with base b to be written in terms of a new base a. Introducing base a, the property states that logM== Choose the correct answer below. log ab O A. log,M= log a ,м log M O B. log+M= log ba log M OC. log+M= log ab log Ma O D. log,M= log Mb

Q: log,(81) |log,(3)

A: We need to solve the logarithm equation using the logarithm property: logaxn = nlogax

Q: Condense each logarithmic expression.

A: We have to condense the following logarithmic expressions -  (a) 12log x + 3 log(x+1)⇒ log(x)12 +…

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: We have the following properties of logarithmlogam-logan=logamnlogam+logan=logamnnlogam=logamnwhere…

Q: 1. What is each expression written as a single logarithm? a. log, 5x + log, 3x b. 2 log, 6 – log, 9

A: Use log rule

Q: Change to base 3 and simplify. 1 log29 1 log89 + 1 log83

A:

Q: 2) 3 log5a + logsb

A:

Q: 3. Evaluate log₂16. A. 2 B. 4 Which of the following is equivalent to log,25? A. 0 B. 2 C. 8 D. 16…

A: The given logarithm expression are,(3) .(4) .The aim is to find the value of the each expression.

Q: 1. a) Write as a single logarithm: log b) log5 (6) + log5 (8) - log5 (16)

A:

Q: b. log 64 = 3

A: Topic = Algebra

Q: Fill in the missing values to make the MisSI isSing eguations true @ logs Teg 4 + log 3 = Togs 5 (6)…

A: We will apply properties of log here.

Q: [(a) √5 3 C A correct expansion of the expression log, is

A:

Q: Fill in each blank so that the resulting statement is true.

A: we know that logamn=logam-logan so, we can say that the quotient rule for logarithms states that…

Q: Simplify, log, i O -1 i

A:

Q: Use the properties of Toçarithms to eypend log EACH COGARITAM should involve only variable and…

A:

Q: Evaluate the following logarithm log32 + 3 logg2 + log316 2 1

A: To evaluate the given logarithm: log82+3log82+12log82

Q: Write log, 3+ logs (x³ – 2) + log, 2 as a single logarithm. Assume all arguments represent positive…

A: According to the given information it is required to write the given expression as a single…

Q: Evaluate using the change of base formula (without a calculator).

A: To calculate the given equation