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Select the correct answer.Which expression is equivalent to 5⁢log𝑥⁡2−log𝑥⁡4? A. log𝑥⁡6 B. log𝑥⁡(52) C. log𝑥⁡28 D. log𝑥⁡8

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Select the correct answer.Which expression is equivalent to 5⁢log𝑥⁡2−log𝑥⁡4? A. log𝑥⁡6 B. log𝑥⁡(52) C. log𝑥⁡28 D. log𝑥⁡8
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Solution 1

Sure, let's solve the expression step by step.

We need to simplify the expression 5log⁡x2−log⁡x4 5 \log_x 2 - \log_x 4 .

Step 1: Use the power rule of logarithms. The power rule states that alog⁡bc=log⁡b(ca) a \log_b c = \log_b (c^a) . Applying this rule to the first term:

5log⁡x2=log⁡x(25)=log⁡x32 5 \log_x 2 = \log_x (2^5) = \log_x 32

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Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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