What is the answer to log_{10}(x)(1/25)=-2 ?

The answer to log_{10}(x)(1/25)=-2 is x= 1/(10^{50)}

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log_{10}(x)(1/25)=-2

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

x = \frac{1}{1 0 ^{50}}

Decimal Notation

x = 1.0 E - 50

Solution steps

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

Multiply both sides by

25

lo g_{10} (x) = - 50

Apply log rules

x = \frac{1}{1 0 ^{50}}

Verify Solutions:

x = \frac{1}{1 0 ^{50}}

True

The solution is

x = \frac{1}{1 0 ^{50}}

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)

lo g_{x} (16) = lo g_{2} (x)

What is the answer to log_{10}(x)(1/25)=-2 ?
The answer to log_{10}(x)(1/25)=-2 is x= 1/(10^{50)}
Solve for x: log_{10}(x)(1/25)=-2
The solution is x= 1/(10^{50)}