Logarithms Practice Test 1

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Question : 7 of 40

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Find the value of

\log _{c^3} a^3 b^3

.

${\log a+\log b}/{3\log c}$
${\log a+\log b}/{ \log c}$
${3\log a+3\log b}/{ \log c}$
${\log a+\log b}-{ \log c}$
$3({\log a+\log b})-{3\log c}$

Solution:

\log _{c^3} a^3 b^3

={\log a^3+\log b^3}/{ \log c^3}

={3\log a+3\log b}/{3 \log c}

={\log a+\log b}/{ \log c}

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