What is the answer to 4^{x-1}=sqrt(2) ?

The answer to 4^{x-1}=sqrt(2) is x= 5/4

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4^{x-1}=sqrt(2)

4^{x - 1} = 2

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

4^{x - 1} = 2

Apply exponent rules

2 (x - 1) = \frac{1}{2}

Solve

2 (x - 1) = \frac{1}{2} : x = \frac{5}{4}

x = \frac{5}{4}

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