Question

Whats the answer to log $log_{x+2} (9x) =2$ ?

Answer 1

Answer:

x= 1, 4

Step-by-step explanation:

$log_{x+2} (9x) =2\\\\

9x = (x+2)^2 \\\\

(x+2)^2 - 9x = 0\\\\

x^2 +4x + 4-9x = 0\\\\

x^2 - 5x +4= 0\\\\

x^2 - 4x-x+4=0\\\\

x(x-4)-1(x-4)=0\\\\

(x-4)(x-1)=0\\\\

x-4 =0\: or\: x - 1=0\\\\

x = 4\: or\: x = 1\\\\

x = 1,\: 4

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