What is the answer to log_{3}(x)+log_{3}(x-24)=4 ?

The answer to log_{3}(x)+log_{3}(x-24)=4 is x=27

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log_{3}(x)+log_{3}(x-24)=4

lo g_{3} (x) + lo g_{3} (x - 24) = 4

x = 27

Solution steps

lo g_{3} (x) + lo g_{3} (x - 24) = 4

Apply log rules

x (x - 24) = 81

Solve

x (x - 24) = 81 : x = 27, x = - 3

x = 27, x = - 3

Verify Solutions:

x = 27

True

, x = - 3

False

The solution is

x = 27

lo g_{\frac{1}{2}} (4 x - 9) = 4

lo g_{10} (9 x) = 3

lo g_{8} (5 x + 4) = 3 x - 4

lo g_{2} ((r + 17)^{2}) = 4

lo g_{2} ((r + 17)^{2}) = 6

What is the answer to log_{3}(x)+log_{3}(x-24)=4 ?
The answer to log_{3}(x)+log_{3}(x-24)=4 is x=27
Solve for x: log_{3}(x)+log_{3}(x-24)=4
The solution is x=27