What is the answer to log_{10}(0.01x)=-3 ?

The answer to log_{10}(0.01x)=-3 is x= 1/10

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log_{10}(0.01x)=-3

lo g_{10} (0.01 x) = - 3

x = \frac{1}{10}

Decimal Notation

x = 0.1

Solution steps

lo g_{10} (0.01 x) = - 3

Apply log rules

0.01 x = \frac{1}{1000}

Solve

0.01 x = \frac{1}{1000} : x = \frac{1}{10}

x = \frac{1}{10}

lo g_{10} (b) 3125 = - 5

x, 10 = ln (x \cdot y)

3 ln (x - 5) = 6

lo g_{2} (x + 3) + 3 lo g_{2} (x - 1) = 8

3 ln (x - 5) = 1

What is the answer to log_{10}(0.01x)=-3 ?
The answer to log_{10}(0.01x)=-3 is x= 1/10
Solve for x: log_{10}(0.01x)=-3
The solution is x= 1/10