What is the answer to log_{10}(x/4)=-2 ?

The answer to log_{10}(x/4)=-2 is x= 1/25

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log_{10}(x/4)=-2

lo g_{10} (\frac{x}{4}) = - 2

x = \frac{1}{25}

Decimal Notation

x = 0.04

Solution steps

lo g_{10} (\frac{x}{4}) = - 2

Apply log rules

\frac{x}{4} = 1 0^{- 2}

Multiply both sides by

4

\frac{x}{4} \cdot 4 = 1 0^{- 2} \cdot 4

Simplify

1 0^{- 2} \cdot 4 : \frac{1}{25}

x = \frac{1}{25}

Verify Solutions:

x = \frac{1}{25}

True

The solution is

x = \frac{1}{25}

lo g_{10} (3 x - 2) = x

8 + 5 ln (x) = 5

x ln (5 x) = 0

5 - (lo g_{2} (\frac{x}{5}) - 1) = 1

lo g_{e} (x) = 5

What is the answer to log_{10}(x/4)=-2 ?
The answer to log_{10}(x/4)=-2 is x= 1/25
Solve for x: log_{10}(x/4)=-2
The solution is x= 1/25