What is the answer to log_{10}(x/(0.145))=-0.34472 ?

The answer to log_{10}(x/(0.145))=-0.34472 is x=(0.145)/(10^{0.34472)}

Solve for x: log_{10}(x/(0.145))=-0.34472

The solution is x=(0.145)/(10^{0.34472)}

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lo g_{10} (\frac{x}{0.145}) = - 0.34472

x = \frac{0.145}{1 0 ^{0.34472}}

Decimal

x = 0.06556 \dots

Solution steps

lo g_{10} (\frac{x}{0.145}) = - 0.34472

Apply log rules

\frac{x}{0.145} = 1 0^{- 0.34472}

Multiply both sides by

0.145

\frac{x}{0.145} \cdot 0.145 = 1 0^{- 0.34472} \cdot 0.145

Simplify

1 0^{- 0.34472} \cdot 0.145 : \frac{0.145}{1 0 ^{0.34472}}

x = \frac{0.145}{1 0 ^{0.34472}}

Verify Solutions:

x = \frac{0.145}{1 0 ^{0.34472}}

True

The solution is

x = \frac{0.145}{1 0 ^{0.34472}}

y, x = ln (y - 1) + 2

lo g_{10} (x) + lo g_{10} (x + 3) = 6

lo g_{10} (x) + lo g_{10} (x + 3) = 5

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

lo g_{6} (4 x - 5) = 1

What is the answer to log_{10}(x/(0.145))=-0.34472 ?
The answer to log_{10}(x/(0.145))=-0.34472 is x=(0.145)/(10^{0.34472)}
Solve for x: log_{10}(x/(0.145))=-0.34472
The solution is x=(0.145)/(10^{0.34472)}