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

The answer to log_{10}(2/x)=-2 is x=200

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

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

x = 200

Solution steps

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

Apply log rules

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

Multiply both sides by

x

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

Simplify

1 0^{- 2} x : \frac{1}{100} x

2 = \frac{1}{100} x

Solve

2 = \frac{1}{100} x : x = 200

x = 200

Verify Solutions:

x = 200

True

The solution is

x = 200

lo g_{3} (2 x - 1) = 4

ln (x^{2} - 63) = 0

x, ln (x) = \frac{t}{2} + c

4 lo g_{5} (x) + 3 lo g_{5} (x) = 175

lo g_{x} (a)

What is the answer to log_{10}(2/x)=-2 ?
The answer to log_{10}(2/x)=-2 is x=200
Solve for x: log_{10}(2/x)=-2
The solution is x=200