Question

Помогите решить!



$12^x*18^x=6^(x+6)$

Answer 1

${12}^{x} times {18}^{x} = {6}^{x + 6} \ {2}^{x} times {6}^{x} times {3}^{x} times {6}^{x} = {6}^{x + 6} \ {6}^{x} times {6}^{x} times {6}^{x} = {6}^{x + 6} \ {6}^{3x} = {6}^{x + 6} \ 3x = x + 6 \ 3x - x = 6 \ 2x = 6 \ x = 3$
Ответ: 3

Answer 2

$12^{x}*18^x} =6^{x+6}\\frac{12^{x}*18^{x}}{6^{x}}=frac{6^{x+6}}{6^{x}},6^{x} neq0 \\2^{x}*18^{x} =6^{6}\\36^{x}=6^{6}\\6^{2x}=6^{6}\\2x=6\\x=3$