What is the answer to 5.4=10log_{10}((12)/x) ?

The answer to 5.4=10log_{10}((12)/x) is x=(12)/(10^{0.54)}

Solve for x: 5.4=10log_{10}((12)/x)

The solution is x=(12)/(10^{0.54)}

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5.4 = 10 lo g_{10} (\frac{12}{x})

x = \frac{12}{1 0 ^{0.54}}

Decimal Notation

x = 3.46083 \dots

Solution steps

5.4 = 10 lo g_{10} (\frac{12}{x})

Switch sides

10 lo g_{10} (\frac{12}{x}) = 5.4

Divide both sides by

10

lo g_{10} (\frac{12}{x}) = 0.54

Apply log rules

\frac{12}{x} = 1 0^{0.54}

Multiply both sides by

x

\frac{12}{x} x = 1 0^{0.54} x

Simplify

12 = 1 0^{0.54} x

Solve

12 = 1 0^{0.54} x : x = \frac{12}{1 0 ^{0.54}}

x = \frac{12}{1 0 ^{0.54}}

Verify Solutions:

x = \frac{12}{1 0 ^{0.54}}

True

The solution is

x = \frac{12}{1 0 ^{0.54}}

ln (432 G^{2}) - 2 = 0

lo g_{4} (x) = b

lo g_{10} (x + 1) + 2 = 3

lo g_{4} (x) = 7

1.482 = - 0.0592 lo g_{10} (x)

What is the answer to 5.4=10log_{10}((12)/x) ?
The answer to 5.4=10log_{10}((12)/x) is x=(12)/(10^{0.54)}
Solve for x: 5.4=10log_{10}((12)/x)
The solution is x=(12)/(10^{0.54)}