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What is the inverse of $y = 6 {log}_{2} (x)$ $y = 6log_2(x)$ ?

1 Answer

Dec 27, 2015

$\times x = 2^{\frac{y}{6}}$ $color(white)xxx=2^(y/6)$

Explanation:

$\times y = 6 {log}_{2} x$ $color(white)xxy=6log_2 x$

$\Rightarrow \frac{1}{6} \times y = \frac{1}{6} \times 6 {log}_{2} x$ $=>color(red)(1/6xx)y=color(red)(1/6xx)6log_2 x$
$\Rightarrow {log}_{2} x = \frac{y}{6}$ $=>log_2 x=y/6$

$\Rightarrow x = 2^{\frac{y}{6}}$ $=>x=2^(y/6)$

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