What is the answer to log_{6}(9x)-2log_{6}(2)=3 ?

The answer to log_{6}(9x)-2log_{6}(2)=3 is x=96

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log_{6}(9x)-2log_{6}(2)=3

lo g_{6} (9 x) - 2 lo g_{6} (2) = 3

x = 96

Solution steps

lo g_{6} (9 x) - 2 lo g_{6} (2) = 3

Move

2 lo g_{6} (2)

to the right side

lo g_{6} (9 x) = 3 + 2 lo g_{6} (2)

Apply log rules

9 x = 864

Solve

9 x = 864 : x = 96

x = 96

Verify Solutions:

x = 96

True

The solution is

x = 96

lo g_{7} (2 x - 3) = 2

lo g_{10} (x^{2} - x - 10) = 1

3 ln (4) + ln (x) = 3

ln (x) + ln (4) = ln (8)

4.19 = - lo g_{10} (x)

What is the answer to log_{6}(9x)-2log_{6}(2)=3 ?
The answer to log_{6}(9x)-2log_{6}(2)=3 is x=96
Solve for x: log_{6}(9x)-2log_{6}(2)=3
The solution is x=96