Question

${2}^{x - 2} . {3}^{2x - 6} = 36 \: then \: find \:the \: value \: of \: x$
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Answer 1

Answer:

2 ^x - 2 . 3 ^2x - 6 = 36

=> 2^x - 2 . 3^2x - 6 = 2².3²

on comparing both sides

2^x-2 = 2² and 3^2x-6 = 3²

=> x - 2 = 2 and 2x - 6 = 2

=> x = 2+2 and 2x = 2+ 6

= > x = 4 and x = 8/2 = 4

=> x = 4