What is the answer to log_{10}(x)25=-2 ?

The answer to log_{10}(x)25=-2 is x= 1/(10^{2/25)}

Solve for x: log_{10}(x)25=-2

The solution is x= 1/(10^{2/25)}

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lo g_{10} (x) 25 = - 2

x = \frac{1}{1 0 ^{\frac{2}{25}}}

Decimal Notation

x = 0.83176 \dots

Solution steps

lo g_{10} (x) \cdot 25 = - 2

Divide both sides by

25

lo g_{10} (x) = - \frac{2}{25}

Apply log rules

x = \frac{1}{1 0 ^{\frac{2}{25}}}

Verify Solutions:

x = \frac{1}{1 0 ^{\frac{2}{25}}}

True

The solution is

x = \frac{1}{1 0 ^{\frac{2}{25}}}

lo g_{10} (x) (\frac{1}{25}) = - 2

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

lo g_{2 x - 1} (3.5 x^{2} - 2.5 x) = 2

2 lo g_{b} (5) = lo g_{b} (x)

lo g_{3} (x) = lo g_{x} (9)

What is the answer to log_{10}(x)25=-2 ?
The answer to log_{10}(x)25=-2 is x= 1/(10^{2/25)}
Solve for x: log_{10}(x)25=-2
The solution is x= 1/(10^{2/25)}