What is the answer to 3log_{10}(2y)=-6 ?

The answer to 3log_{10}(2y)=-6 is y= 1/200

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3log_{10}(2y)=-6

3 lo g_{10} (2 y) = - 6

y = \frac{1}{200}

Decimal Notation

y = 0.005

Solution steps

3 lo g_{10} (2 y) = - 6

Divide both sides by

3

lo g_{10} (2 y) = - 2

Apply log rules

2 y = \frac{1}{100}

Solve

2 y = \frac{1}{100} : y = \frac{1}{200}

y = \frac{1}{200}

Verify Solutions:

y = \frac{1}{200}

True

The solution is

y = \frac{1}{200}

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

3 ln (x) - 1 = 0

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

lo g_{10} (x) 343 = 3

ln (x) = - 9

What is the answer to 3log_{10}(2y)=-6 ?
The answer to 3log_{10}(2y)=-6 is y= 1/200
Solve for y: 3log_{10}(2y)=-6
The solution is y= 1/200