Question

If 8 to the power m = 32, then m = ?​

Answer 1

Answer

${8}^{m} = 32 \\ \\ { ({2}^{3}) }^{m} = 32 \\ \\ {2}^{3m} = {2}^{5} \\ \red{on \: comparing} \\ 3m = 5 \\ m = \frac{5}{3}$

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Answer 2

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Given,

${8}^{m} = 32 \\ \implies \: {( {2}^{3} )}^{m} = {2}^{5} \\ \implies \: {2}^{3m} = {2}^{5} \\ \therefore \: 3m = 5 \\ \implies \: m = \frac{5}{3}$

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