What is the answer to log_{8}(x)= 1/2 ?

The answer to log_{8}(x)= 1/2 is x=2sqrt(2)

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log_{8}(x)= 1/2

lo g_{8} (x) = \frac{1}{2}

x = 22

Decimal

x = 2.82842 \dots

Solution steps

lo g_{8} (x) = \frac{1}{2}

Apply log rules

x = 22

lo g_{10} (x^{3}) = (lo g_{10} (x))^{2}

lo g_{2} (x + 3) = 3

lo g_{2} (x - 3) = 2

lo g_{x - 3} (9) = 2

ln (e) - ln (x^{2}) = 0

What is the answer to log_{8}(x)= 1/2 ?
The answer to log_{8}(x)= 1/2 is x=2sqrt(2)
Solve for x: log_{8}(x)= 1/2
The solution is x=2sqrt(2)