What is the answer to 1.32=log_{10}(1/x) ?

The answer to 1.32=log_{10}(1/x) is x=0.04786…

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1.32=log_{10}(1/x)

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

x = 0.04786 \dots

Solution steps

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

Apply log rules

1 0^{1.32} = \frac{1}{x}

Multiply both sides by

x

1 0^{1.32} x = \frac{1}{x} x

Simplify

1 0^{1.32} x = 1

Simplify

20.89296 \dots x = 1

Solve

20.89296 \dots x = 1 : x = 0.04786 \dots

x = 0.04786 \dots

Verify Solutions:

x = 0.04786 \dots

True

The solution is

x = 0.04786 \dots

- \frac{- 2 ln ( 2 x ) + 3}{x ^{3}} = 0

- lo g_{10} (x) = 0.064

lo g_{2} (a) = 13

lo g_{2} (x + 4) = lo g_{2} (x + 7)

lo g_{x} (36) + lo g_{x} (6) = 1

What is the answer to 1.32=log_{10}(1/x) ?
The answer to 1.32=log_{10}(1/x) is x=0.04786…
Solve for x: 1.32=log_{10}(1/x)
The solution is x=0.04786…