Power[8,x-2]=Sqrt[8] - Wolfram|Alpha

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Input

8^(x - 2) = sqrt(8)

Exact result

8^(x - 2) = 2 sqrt(2)

Plot

Plot

Alternate form assuming x is real

8^x = 128 sqrt(2)

Number line

Number line

Real solution

x = 5/2

Solution

x = ((15 log(2))/2 + 2 i π n)/(3 log(2)), n element Z

Logarithmic form

(x - 2) log(8, 8) = log(8, sqrt(8))

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