What is the answer to log_{x}(0.004)=2 ?

The answer to log_{x}(0.004)=2 is x= 1/(5sqrt(10))

Solve for x: log_{x}(0.004)=2

The solution is x= 1/(5sqrt(10))

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lo g_{x} (0.004) = 2

x = \frac{1}{5 10}

Decimal Notation

x = 0.06324 \dots

Solution steps

lo g_{x} (0.004) = 2

Apply log rules

\frac{1}{lo g _{0.004} ( x )} = 2

Multiply both sides by

lo g_{0.004} (x)

\frac{1}{lo g _{0.004} ( x )} lo g_{0.004} (x) = 2 lo g_{0.004} (x)

Apply log rules

x = \frac{1}{5 10}

Verify Solutions:

x = \frac{1}{5 10}

True

The solution is

x = \frac{1}{5 10}

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

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

lo g_{10} (24 - 7 x) = 1

ln (x y) = ln (x) + ln (y)

ln (x) + x = 1

What is the answer to log_{x}(0.004)=2 ?
The answer to log_{x}(0.004)=2 is x= 1/(5sqrt(10))
Solve for x: log_{x}(0.004)=2
The solution is x= 1/(5sqrt(10))