How do you write the equation ${log}_{13} (169) = 2$ $log_13 (169)=2$ in exponential form?

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How do you write the equation ${log}_{13} (169) = 2$ $log_13 (169)=2$ in exponential form?

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Answer 1 · 2018-05-05T15:13:19

$169 = 13^{2}$ $169=13^2$

Explanation:

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

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

$here b = 13, x = 169 and n = 2$ $"here "b=13,x=169" and "n=2$

$\Rightarrow 169 = 13^{2} \leftarrow in exponential form$ $rArr169=13^2larrcolor(blue)"in exponential form"$

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How do you write the equation ${log}_{13} (169) = 2$ $log_13 (169)=2$ in exponential form?

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