Question

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

Answer 1

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,

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

Answer 2

Answer:

The required expression is $3\log_{15}2$.

Step-by-step 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 $3\log_{15}2$.