Question

5•2 la puterea x + 10•2 la puterea x + 2 la puterea x = 128

Answer 1

$5 \times {2}^{x} + 10 \times {2}^{x} + {2}^{x} = 128$

${2}^{x} (5 + 10 + 1) = {2}^{7}$

${2}^{x} \times 16 = {2}^{7}$

${2}^{x} \times {2}^{4} = {2}^{7}$

${2}^{x + 4} = {2}^{7}$

$x + 4 = 7$

$x = 7 - 4$

$x = 3$