Can you please find ''x'' ?

Question

$2^{x} = 30$ $2^x=30$

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Answer 1 · 2018-06-18T09:41:56

$x = 4.91$ $x = 4.91$

We have this equation

$2^{x} = 30$ $2^x = 30$

We add $log$ $log$ to both sides

${log 2}^{x} = log 30$ $log2^x = log 30$

Using one of the rules of logarithms, we move the $x$ $x$ in front

$x log 2 = log 30$ $xlog2 = log 30$

Divide both sides by $log 2$ $log 2$

$x = \frac{log 30}{log 2}$ $x = log30/log2$

Calculate the final answer

$x = 4.91$ $x = 4.91$