The expression is equivalent to:

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The expression 4log⁡a−12log⁡b+log⁡c4\log a - \frac{1}{2}\log b + \log c is equivalent to: (A) log⁡(a4bc)\log\left(\frac{a^4\sqrt{b}}{c}\right) (B) log⁡(a4cb)\log\left(\frac{a^4c}{\sqrt{b}}\right) (C) log⁡(4acb)\log\left(\frac{4ac}{\sqrt{b}}\right) (D) log⁡(8acb)\log\left(\frac{8ac}{b}\right)

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