What is the answer to 4=log_{10}((250)/x) ?

The answer to 4=log_{10}((250)/x) is x= 1/40

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4=log_{10}((250)/x)

4 = lo g_{10} (\frac{250}{x})

x = \frac{1}{40}

Decimal

x = 0.025

Solution steps

4 = lo g_{10} (\frac{250}{x})

Apply log rules

1 0^{4} = \frac{250}{x}

Multiply both sides by

x

1 0^{4} x = \frac{250}{x} x

Simplify

10000 x = 250

Solve

10000 x = 250 : x = \frac{1}{40}

x = \frac{1}{40}

Verify Solutions:

x = \frac{1}{40}

True

The solution is

x = \frac{1}{40}

lo g_{2} (5 - x) = 3

ln (x) = 4

ln (x) = 8

3 lo g_{4} (x - 2) = 5

3 = lo g_{t} (8)

What is the answer to 4=log_{10}((250)/x) ?
The answer to 4=log_{10}((250)/x) is x= 1/40
Solve for x: 4=log_{10}((250)/x)
The solution is x= 1/40