How do you write ${log}_{2} (x) = 5$ $log_2(x)=5$ in exponential form?

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How do you write ${log}_{2} (x) = 5$ $log_2(x)=5$ in exponential form?

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Answer 1 · 2018-08-12T17:24:06

$x = 2^{5}$ $x=2^5$

Explanation:

$using the law of logarithms$ $"using the "color(blue)"law of logarithms"$

$∙ x {log}_{b} x = n \Leftrightarrow x = b^{n}$ $•color(white)(x)log_b x=nhArrx=b^n$

$here b = 2 and n = 5$ $"here "b=2" and "n=5$

${log}_{2} x = 5 \Leftrightarrow x = 2^{5}$ $log_2 x=5hArrx=2^5$

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How do you write ${log}_{2} (x) = 5$ $log_2(x)=5$ in exponential form?

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How do you write ${log}_{2} (x) = 5$ $log_2(x)=5$ in exponential form?