What is the answer to log_{x}(0.25)=-2 ?

The answer to log_{x}(0.25)=-2 is x=2

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log_{x}(0.25)=-2

lo g_{x} (0.25) = - 2

x = 2

Solution steps

lo g_{x} (0.25) = - 2

Apply log rules

\frac{1}{lo g _{0.25} ( x )} = - 2

Multiply both sides by

lo g_{0.25} (x)

\frac{1}{lo g _{0.25} ( x )} lo g_{0.25} (x) = - 2 lo g_{0.25} (x)

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

6 - lo g_{10} (8 x + 4) = 4

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

lo g_{4} (x^{2} - 15 x) = 2

lo g_{2} (5 y^{2} + 2 y - 8) = 4

lo g_{10} (4) + lo g_{10} (5 x) = 2