What is the answer to log_{5}(6x)+5=3 ?

The answer to log_{5}(6x)+5=3 is x= 1/150

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log_{5}(6x)+5=3

lo g_{5} (6 x) + 5 = 3

x = \frac{1}{150}

Decimal Notation

x = 0.00666 \dots

Solution steps

lo g_{5} (6 x) + 5 = 3

Move

5

to the right side

lo g_{5} (6 x) = - 2

Apply log rules

6 x = \frac{1}{25}

Solve

6 x = \frac{1}{25} : x = \frac{1}{150}

x = \frac{1}{150}

Verify Solutions:

x = \frac{1}{150}

True

The solution is

x = \frac{1}{150}

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

4 lo g_{10} (2 n) - 7 = - 11

lo g_{10} (x) = 5.6

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

lo g_{6} (7 x) + 6 = 8

What is the answer to log_{5}(6x)+5=3 ?
The answer to log_{5}(6x)+5=3 is x= 1/150
Solve for x: log_{5}(6x)+5=3
The solution is x= 1/150