What is the answer to log_{256}(x)=-3/4 ?

The answer to log_{256}(x)=-3/4 is x= 1/64

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log_{256}(x)=-3/4

lo g_{256} (x) = - \frac{3}{4}

x = \frac{1}{64}

Decimal

x = 0.015625

Solution steps

lo g_{256} (x) = - \frac{3}{4}

Apply log rules

x = \frac{1}{64}

x (2 ln (x) + 1) = 0

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

lo g_{5} (x) = 0

lo g_{5} (1 - 4 x) = 2

lo g_{3} (8 - 5 x) = 2

What is the answer to log_{256}(x)=-3/4 ?
The answer to log_{256}(x)=-3/4 is x= 1/64
Solve for x: log_{256}(x)=-3/4
The solution is x= 1/64