What is the answer to log_{3}(x)+log_{3}(x-8)=2 ?

The answer to log_{3}(x)+log_{3}(x-8)=2 is x=9

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log_{3}(x)+log_{3}(x-8)=2

lo g_{3} (x) + lo g_{3} (x - 8) = 2

x = 9

Solution steps

lo g_{3} (x) + lo g_{3} (x - 8) = 2

Apply log rules

x (x - 8) = 9

Solve

x (x - 8) = 9 : x = 9, x = - 1

x = 9, x = - 1

Verify Solutions:

x = 9

True

, x = - 1

False

The solution is

x = 9

lo g_{2} (x + 1) = 3

ln (2 + x) - ln (x) = 2 ln^{3} (x)

2^{l o g_{3} (x)} = x^{l o g_{3} (2)}, x > 0

a, ln (8 a) = 2 ln (a + 2 b) - ln (b)

a, lo g_{3} (a) + 1 = 2 lo g_{10} (9) (b)

What is the answer to log_{3}(x)+log_{3}(x-8)=2 ?
The answer to log_{3}(x)+log_{3}(x-8)=2 is x=9
Solve for x: log_{3}(x)+log_{3}(x-8)=2
The solution is x=9