AM-1580

Exponential and logarithmic equations

A Math · Secondary 4 · Medium · Exponential and logarithmic equations

Given that

\log_a 64 - 2\log_a \sqrt[3]{b} + \log_a c = 4

, express

a

in terms of

b

and

c

.

$a = \dfrac{2\sqrt{2}\,c^{1/4}}{b^{1/6}}$
$a = \dfrac{2\sqrt{2}\,c}{b^{1/6}}$
$a = \dfrac{2\sqrt{2}\,c^{1/4}}{b^{1/3}}$
$a = \dfrac{64c}{b^{2/3}}$

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