Question

Two raise to x-3 multiply by 8 raised to x-2 =0.25​

Answer 1

`{2}^(x - 3) * {8}^(x - 2) = (1)/(4) \\ {2}^(x - 3) * {2}^(3x - 6) = (1)/(4) \\ {2}^(x - 3 + 3x - 6) = (1)/(4) \\{ 2}^(4x -9) = {2}^( - 2) \\ log_(2)({ 2}^(4x -9)) = log_(2)({ 2}^( - 2)) \\( 4x - 9 )log_(2)({ 2}) = ( - 2 )log_(2)({ 2})\\ 4x - 9 = - 2 \\ 4x = 7 \\ \therefore x = (7)/(4)`