What is the answer to 4=2log_{5}((w-1)/(100)) ?

The answer to 4=2log_{5}((w-1)/(100)) is w=2501

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4=2log_{5}((w-1)/(100))

4 = 2 lo g_{5} (\frac{w - 1}{100})

w = 2501

Solution steps

4 = 2 lo g_{5} (\frac{w - 1}{100})

Switch sides

2 lo g_{5} (\frac{w - 1}{100}) = 4

Divide both sides by

2

lo g_{5} (\frac{w - 1}{100}) = 2

Apply log rules

\frac{w - 1}{100} = 5^{2}

Multiply both sides by

100

\frac{w - 1}{100} \cdot 100 = 5^{2} \cdot 100

Simplify

w - 1 = 2500

Solve

w - 1 = 2500 : w = 2501

w = 2501

Verify Solutions:

w = 2501

True

The solution is

w = 2501

0 = 2 + ln (x)

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

ln (1 + e^{x}) = x

lo g_{4} (x + 5) - lo g_{4} (1 - 5 x) = 2

- ln (m^{2} - m + 1) = 0

What is the answer to 4=2log_{5}((w-1)/(100)) ?
The answer to 4=2log_{5}((w-1)/(100)) is w=2501
Solve for w: 4=2log_{5}((w-1)/(100))
The solution is w=2501