What is the answer to 3log_{10}(5x)=-9 ?

The answer to 3log_{10}(5x)=-9 is x= 1/5000

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3log_{10}(5x)=-9

3 lo g_{10} (5 x) = - 9

x = \frac{1}{5000}

Decimal

x = 0.0002

Solution steps

3 lo g_{10} (5 x) = - 9

Divide both sides by

3

lo g_{10} (5 x) = - 3

Apply log rules

5 x = \frac{1}{1000}

Solve

5 x = \frac{1}{1000} : x = \frac{1}{5000}

x = \frac{1}{5000}

Verify Solutions:

x = \frac{1}{5000}

True

The solution is

x = \frac{1}{5000}

y, lo g_{x - y} (8) = - 3

\frac{x}{2} = x ln (x^{2})

\frac{ln ( x ^{3} )}{4} = (ln (x))^{3}

3 - lo g_{2} (5 x - 2) = 0

lo g_{11} (x) = 2

What is the answer to 3log_{10}(5x)=-9 ?
The answer to 3log_{10}(5x)=-9 is x= 1/5000
Solve for x: 3log_{10}(5x)=-9
The solution is x= 1/5000