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

The answer to -2log_{x}(1/100)=4 is x=10

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

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

x = 10

Solution steps

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

Divide both sides by

- 2

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

Apply log rules

\frac{ln ( \frac{1}{100} )}{ln ( x )} = - 2

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{100} )}{ln ( x )} ln (x) = - 2 ln (x)

Apply log rules

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

lo g_{5} (3 x + 1) + lo g_{5} (x - 3) = 3

lo g_{\frac{1}{2}} (5 x - 5) = 3

ln (x) = - 1.2494

lo g_{10} (x + 40) = 2

lo g_{x} (7) = \frac{1}{2}

What is the answer to -2log_{x}(1/100)=4 ?
The answer to -2log_{x}(1/100)=4 is x=10
Solve for x: -2log_{x}(1/100)=4
The solution is x=10