Use the change-of-base formula to rewrite the expression log; 2 in terms of the natural logarithm In (x).

Q: Expand the logarithm expression. Evaluate if needed: log33x*(x+1)²

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Q: a. log i'

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Q: +In 9 + In (x — 1) — 3 In (х) — In 4 |

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Q: Evaluate: 10 logb(b3) − 4 logb(√b)

A: Let the given expression be y - y = 10logbb3-4logbby = 103logbb-4logbb12…

Q: Write an expression equal to log, (5) + log,(6) using at most one log.

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Q: Using the change of base formula loga b log, b log, a , evaluate log-3152 correct to three decimal…

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Q: 3 Expand the logarithmic expression: In- x 2-4

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Q: Rewrite the left hand side as an expression of a single logarithm: log3(x-1)-log3(x+2)=2

A: Given,

Q: Find the domain (in interval notation) of the following functions

A: Domain: Domain of a function is the set of values of x for which the function is defined and real.

Q: log 2 ( x2 -1) - log2 (9 x + 1 ) = 2 а. b. log 9 27 = m %3D

A: To evaluate the given logarithms.

Q: Explain why the log (-1) does not exist.

A: You need to have the idea of domain in order to get the answer of this question.

Q: solve for x: log(? + 2) − log(? − 2) = log 5

A: D

Q: Simplify log(60)+log(15)−log(2)−log(2) as a single logarithm

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Q: Evaluate logarithm

A: we will use following identities to answer the given question .  1a=a-1an=a1namn=amnlogaa = 1