What is the answer to log_{10}(x/(0.5))=0.25 ?

The answer to log_{10}(x/(0.5))=0.25 is x=10^{0.25}*0.5

Solve for x: log_{10}(x/(0.5))=0.25

The solution is x=10^{0.25}*0.5

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lo g_{10} (\frac{x}{0.5}) = 0.25

x = 1 0^{0.25} \cdot 0.5

Decimal Notation

x = 0.88913 \dots

Solution steps

lo g_{10} (\frac{x}{0.5}) = 0.25

Apply log rules

\frac{x}{0.5} = 1 0^{0.25}

Multiply both sides by

0.5

\frac{x}{0.5} \cdot 0.5 = 1 0^{0.25} \cdot 0.5

Simplify

x = 1 0^{0.25} \cdot 0.5

Verify Solutions:

x = 1 0^{0.25} \cdot 0.5

True

The solution is

x = 1 0^{0.25} \cdot 0.5

lo g_{3} (z) = 3

x^{5 - l o g_{3} (x)} = 9 x^{2}

\frac{1}{ln ( x )} = 0

lo g_{3} (x - 1) = 4

- ln (\frac{1}{x}) = ln (x)

What is the answer to log_{10}(x/(0.5))=0.25 ?
The answer to log_{10}(x/(0.5))=0.25 is x=10^{0.25}*0.5
Solve for x: log_{10}(x/(0.5))=0.25
The solution is x=10^{0.25}*0.5