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Inga [223]
4 years ago
12

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

Mathematics
2 answers:
OlgaM077 [116]4 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]4 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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8 0
3 years ago
You randomly pick two numbers from 1 to 9 (including 1 and 9). A number that is chosen once could be chosen again. If at least o
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Assume that you only include whole numbers (1,2,3,4,5,6,7,8,9) and not 3.5 and such
so if 1 is odd and less than 5 then it is
1 or 3, since 5 isn't included
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1+x<5
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