What is the answer to log_{25}(x)=-1/2 ?

The answer to log_{25}(x)=-1/2 is x= 1/5

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log_{25}(x)=-1/2

lo g_{25} (x) = - \frac{1}{2}

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

lo g_{25} (x) = - \frac{1}{2}

Apply log rules

x = \frac{1}{5}

ln (5) + ln (y^{2} - 1) - ln (y - 1) = 2

ln (x^{2} + 1) = 1 + 2 ln (x)

ln (x) + ln (x - 8) = 4

ln (3 x + 4) = 2 ln (x + 1)

2 lo g_{5} (x) = 3 lo g_{5} (4)

What is the answer to log_{25}(x)=-1/2 ?
The answer to log_{25}(x)=-1/2 is x= 1/5
Solve for x: log_{25}(x)=-1/2
The solution is x= 1/5