Question

Whats the answer to log 9x) =2" alt="log_{x+2} (9x) =2" align="absmiddle" class="latex-formula"> ?

Answer 1

Answer:

x= 1, 4

Step-by-step explanation:

$log_{x+2} (9x) =2\\\\9x = (x+2)^2 \\\\(x+2)^2 - 9x = 0\\\\x^2 +4x + 4-9x = 0\\\\x^2 - 5x +4= 0\\\\x^2 - 4x-x+4=0\\\\x(x-4)-1(x-4)=0\\\\(x-4)(x-1)=0\\\\x-4 =0\: or\: x - 1=0\\\\x = 4\: or\: x = 1\\\\x = 1,\: 4$