What is the answer to log_{3}(x)+2log_{3}(x-6)=4 ?

The answer to log_{3}(x)+2log_{3}(x-6)=4 is x=9

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log_{3}(x)+2log_{3}(x-6)=4

lo g_{3} (x) + 2 lo g_{3} (x - 6) = 4

x = 9

Solution steps

lo g_{3} (x) + 2 lo g_{3} (x - 6) = 4

Apply log rules

x (x - 6)^{2} = 81

Solve

x (x - 6)^{2} = 81 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

- lo g_{10} (x) = 5.2

ln (x - 1) = 2

ln (2) + ln (x - 3) = ln (x)

ln (x - 2) + ln (x + 5) = 2 ln (3)

ln (8 k) = 2

What is the answer to log_{3}(x)+2log_{3}(x-6)=4 ?
The answer to log_{3}(x)+2log_{3}(x-6)=4 is x=9
Solve for x: log_{3}(x)+2log_{3}(x-6)=4
The solution is x=9