What is the answer to log_{25}(x)=-3/2 ?

The answer to log_{25}(x)=-3/2 is x= 1/125

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log_{25}(x)=-3/2

lo g_{25} (x) = - \frac{3}{2}

x = \frac{1}{125}

Decimal

x = 0.008

Solution steps

lo g_{25} (x) = - \frac{3}{2}

Apply log rules

x = \frac{1}{125}

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

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

What is the answer to log_{25}(x)=-3/2 ?
The answer to log_{25}(x)=-3/2 is x= 1/125
Solve for x: log_{25}(x)=-3/2
The solution is x= 1/125