What is the answer to 2=log_{10}(1/x) ?

The answer to 2=log_{10}(1/x) is x= 1/100

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2=log_{10}(1/x)

2 = lo g_{10} (\frac{1}{x})

x = \frac{1}{100}

Decimal Notation

x = 0.01

Solution steps

2 = lo g_{10} (\frac{1}{x})

Apply log rules

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

Multiply both sides by

x

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

Simplify

100 x = 1

Solve

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

x = \frac{1}{100}

Verify Solutions:

x = \frac{1}{100}

True

The solution is

x = \frac{1}{100}

lo g_{3} (9 x) + 3 lo g_{3} (4) = 0

lo g_{7} (3 x + 2) = lo g_{7} (2 x + 5)

ln (k) = 6.788

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

ln (2 x^{2} + 3) = 1

What is the answer to 2=log_{10}(1/x) ?
The answer to 2=log_{10}(1/x) is x= 1/100
Solve for x: 2=log_{10}(1/x)
The solution is x= 1/100