Find the value of \log[\frac{\sqrt^4 a^5}{\sqrt^5 b^4\times\sqrtc}].

Correct Answer is : 54loga−(45logb+12logc)

\log a^{4/5}+(\log b^{5/4}-\log c^{1/2})

(\log a^{5/4}- \log c^{1/2})+\log b^{4/5})

\log a^{4/5}- \log c^{2} -\log b^{5/4}

Logarithms Practice Test 1

Question : 39 of 40

Marks: +1, -0

Find the value of

\log[{√^4 a^5}/{√^5 b^4×√c}]

Solution:

\log[{√^4 a^5}/{√^5 b^4×√c}]

=\log[{ a^{5/4}}/{ b^{4/5}× c^{1/2}}]

=\log a^{5/4}-(\log b^{4/5}+\log c^{1/2})

=5/4\log a-(4/5\log b+1/2\log c)

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