What is the answer to log_{6}(8x)-3log_{6}(5)=0 ?

The answer to log_{6}(8x)-3log_{6}(5)=0 is x= 125/8

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log_{6}(8x)-3log_{6}(5)=0

lo g_{6} (8 x) - 3 lo g_{6} (5) = 0

x = \frac{125}{8}

Decimal Notation

x = 15.625

Solution steps

lo g_{6} (8 x) - 3 lo g_{6} (5) = 0

Move

3 lo g_{6} (5)

to the right side

lo g_{6} (8 x) = 3 lo g_{6} (5)

Apply log rules

8 x = 125

Solve

8 x = 125 : x = \frac{125}{8}

x = \frac{125}{8}

Verify Solutions:

x = \frac{125}{8}

True

The solution is

x = \frac{125}{8}

2 ln (4 x) = - 2

ln (6 x) = ln (9) + 2 lo g_{10} (10)

5 lo g_{10} (u) = 0

lo g_{3} (y) - 4 = lo g_{3} (5)

lo g_{10} (x + 10) = - 1

What is the answer to log_{6}(8x)-3log_{6}(5)=0 ?
The answer to log_{6}(8x)-3log_{6}(5)=0 is x= 125/8
Solve for x: log_{6}(8x)-3log_{6}(5)=0
The solution is x= 125/8