Question

If (2^5x x 2^4) = 8 = 64, find the value of x.​

Answer 1

Step-by-step explanation:

${2}^{5x + 4} = {2}^{5x} \times {2}^{4}$

1)

${2}^{5x + 4} = {2}^{3} = 8$

$5x + 4 = 3 = > 5x = - 1$

$x = - \frac{1}{5}$

2)

${2}^{5x + 4} = 64 = ( {8})^{2} = ( { {2}^{3} })^{2} = {2}^{3} \times {2}^{3} = {2}^{6}$

$5x + 4 = 6$

$5x = 2 = > x = \frac{2}{5}$