What is the answer to log_{x}(0.04)=-2 ?

The answer to log_{x}(0.04)=-2 is x=5

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log_{x}(0.04)=-2

lo g_{x} (0.04) = - 2

x = 5

Solution steps

lo g_{x} (0.04) = - 2

Apply log rules

\frac{1}{lo g _{0.04} ( x )} = - 2

Multiply both sides by

lo g_{0.04} (x)

\frac{1}{lo g _{0.04} ( x )} lo g_{0.04} (x) = - 2 lo g_{0.04} (x)

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

x, y = ln (x^{2} + y^{2})

ln (ln (x)) = 0

lo g_{9} (15 - 4 n) = \frac{1}{2}

1 = ln (x)

x^{2} + 9^{l o g_{3} (x)} = 30