What is the answer to log_{6}(9x)-log_{6}(4)=2 ?

The answer to log_{6}(9x)-log_{6}(4)=2 is x=16

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log_{6}(9x)-log_{6}(4)=2

lo g_{6} (9 x) - lo g_{6} (4) = 2

x = 16

Solution steps

lo g_{6} (9 x) - lo g_{6} (4) = 2

Move

lo g_{6} (4)

to the right side

lo g_{6} (9 x) = 2 + lo g_{6} (4)

Apply log rules

9 x = 144

Solve

9 x = 144 : x = 16

x = 16

Verify Solutions:

x = 16

True

The solution is

x = 16

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

ln (1 - 2 x) = ln (2 - x)

lo g_{3} (5 x - 7) = 0

0 = 5 (ln (4 x) + 1)

ln (x) = ln (x + 6) - ln (x - 4)

What is the answer to log_{6}(9x)-log_{6}(4)=2 ?
The answer to log_{6}(9x)-log_{6}(4)=2 is x=16
Solve for x: log_{6}(9x)-log_{6}(4)=2
The solution is x=16