Question

Which of the following is equivalent to log3^8?

Answer 1

The answer is C

Explanation:

I just did it

Answer 2

Answer: The correct answer is: [C]:

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"
`3 log_(3) 2` " .

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Explanation:

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We are given:
`log _(b)x^r = r * log_(b) x` ;

We have:
`log_(3)8` .

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Note that the number: " 8 " ; can be written as: " 2³ " ;

→ since: " 2³ = 2 * 2 * 2 = 4 * 2 = 8 " .

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→ So:
`log{_(3)8 = log_(3)(2^3)` ;

→ which takes the form of the expression:

→ "
`log_(b)x^r` " ; in which:

" b = 3 " ;

" x = 2 " ;

" r = 3 " ;

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Now: Since:
`log _(b)x^r = r * log_(b) x` " ;

Substitute our known values for: "
`r * log_(b) x` " ; as follows"

→ "
`3 * log_(3) 2` " ;

→ which is:

→ Answer choice: [C]: "
`3 log_(3) 2` " .

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Hope this is helpful.

Best wishes to you!

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