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4 votes
What is log15 2^3 rewritten using the power property?

2 Answers

5 votes

Answer:

The required expression is
3\log_(15)2.

Explanation:

According to the power property of exponent,


\log_ax^b=b\log_ax

The given expression is


\log_(15)2^3

Here a=15, x=2, b=3.

Using power property of exponent the given expression can be written as


\log_(15)2^3=3\log_(15)2

Therefore the required expression is
3\log_(15)2.

User Juicy
by
8.3k points
6 votes

ANSWER


log_(15)( {2}^(3) ) = 3 \: log_(15)( {2} )

EXPLANATION

According to the power property of logarithms:


log_(x)( {y}^(n) ) = n \: log_(x)( {y} )

The given logarithm is


log_(15)( {2}^(3) )

When we apply the power property to this logarithm, we get,


log_(15)( {2}^(3) ) = 3 \: log_(15)( {2} )

User Nontechguy
by
8.4k points

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