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How do you solve $2^{x} = 15$ $2^x=15$ ?

1 Answer

Aug 2, 2016

$x = 3.906891$ $x=color(green)(3.906891)$ (approximately)

Explanation:

Given
$XXX 2^{x} = 15$ $color(white)("XXX")2^x=15$

Since ${log}_{2} (2^{x}) = x$ $log_2(2^x)=x$
$XXX x = {log}_{2} 15$ $color(white)("XXX")x=log_2 15$

Using a calculator ${log}_{2} 15 \approx 3.906891$ $log_2 15 ~~3.906891$

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