What is the answer to 25=20log_{10}(x/(0.25)) ?

The answer to 25=20log_{10}(x/(0.25)) is x=\sqrt[4]{10}*2.5

Solve for x: 25=20log_{10}(x/(0.25))

The solution is x=\sqrt[4]{10}*2.5

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25 = 20 lo g_{10} (\frac{x}{0.25})

Decimal Notation

x = 4.44569 \dots

Solution steps

25 = 20 lo g_{10} (\frac{x}{0.25})

Switch sides

20 lo g_{10} (\frac{x}{0.25}) = 25

Divide both sides by

20

lo g_{10} (\frac{x}{0.25}) = \frac{5}{4}

Apply log rules

\frac{x}{0.25} = 1 0^{\frac{5}{4}}

Multiply both sides by

0.25

\frac{x}{0.25} \cdot 0.25 = 1 0^{\frac{5}{4}} \cdot 0.25

Simplify

Verify Solutions:

True

The solution is

3 ln (4 x) = 18

3 ln (4 x) = 13

lo g_{5} (A) = 1.8

ln (x) = - 5.19335

5 ln (x) - x = 0

What is the answer to 25=20log_{10}(x/(0.25)) ?
The answer to 25=20log_{10}(x/(0.25)) is x=\sqrt[4]{10}*2.5
Solve for x: 25=20log_{10}(x/(0.25))
The solution is x=\sqrt[4]{10}*2.5