Question

Solve the equation
${2}^{ x - 3} = {4}^{x - 1}$
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Answer 1

Hope it helps!!!...

just equate both sides

Answer 2

Step-by-step explanation:

${2}^{x - 3} = {4}^{x - 1} \\ \\ = > {2}^{x - 3} = ( {2}^{2} ) ^{x - 1} \\ \\ = > {2}^{x - 3} = {2}^{2x - 2} \\ \\ = > x - 3 = 2x - 2 \\ \\ = > x - 2x = - 2 + 3 \\ \\ = > - x = 1 \\ \\ = > x = - 1 \\ \\ \\ using \: formula \: \: \: \: \: ( {x}^{m} ) ^{n} = {x}^{mn}$