2 Answers

Juicy · Answer 1 · 2020-07-13T04:47:01+0000

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
$3\log_(15)2$ .

Nontechguy · Answer 2 · 2020-07-15T05:25:53+0000

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,

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

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