What is the answer to 3=log_{10}(x)125 ?

The answer to 3=log_{10}(x)125 is x=10^{3/125}

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3=log_{10}(x)125

3 = lo g_{10} (x) 125

x = 1 0^{\frac{3}{125}}

Decimal Notation

x = 1.05681 \dots

Solution steps

3 = lo g_{10} (x) \cdot 125

Switch sides

lo g_{10} (x) \cdot 125 = 3

Divide both sides by

125

lo g_{10} (x) = \frac{3}{125}

Apply log rules

x = 1 0^{\frac{3}{125}}

Verify Solutions:

x = 1 0^{\frac{3}{125}}

True

The solution is

x = 1 0^{\frac{3}{125}}

lo g_{3} (x) = \frac{- 3}{2}

lo g_{25} (2 x - 1) = \frac{1}{2}

lo g_{10} (x) = 4

ln (x - 1) = 4

lo g_{6} (x - 3) + lo g_{6} (x - 8) = 2

What is the answer to 3=log_{10}(x)125 ?
The answer to 3=log_{10}(x)125 is x=10^{3/125}
Solve for x: 3=log_{10}(x)125
The solution is x=10^{3/125}