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Inga [223]
3 years ago
12

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

Mathematics
2 answers:
OlgaM077 [116]3 years ago
8 0

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} )

cestrela7 [59]3 years ago
3 0

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.

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