Solve for x log3 x 8 log3 x 2SolutionLog 3x8 log 3x 2 L

Solve for x: log_3 (x - 8) + log_3 x = 2

Log ₃(x-8) + log ₃(x) = 2

Log ₃( (x-8)(x))= 2

(x-8)(x) = 3²

(x-8)(x)= 9

x ² -8x -9=0

Solving this quadratic equation, we get

x=9 , -1

Since x can\'t be negative because of logarithm properties.

So, x= 9

Solve for x: log_3 (x - 8) + log_3 x = 2SolutionLog 3(x-8) + log 3(x) = 2 Log 3( (x-8)(x))= 2 (x-8)(x) = 32 (x-8)(x)= 9 x 2 -8x -9=0 Solving this quadratic equ

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