Question

Find the value of x if,
(4)^2x-1 × (16)^x = 16384

Answer 1

$hey \: mate \: here \: is \: your \: answer \\ \\ {4}^{2x - 1} \times {16}^{x} = 16384 \\ \\ {4}^{2x - 1 } \times \: {4}^{2x} = {4}^{4096} \\ \\ {4}^{2x - 1 + 2x = 4096 } \\ 4x - 1 = 4096 \\ \\ 4x = 4097 \\ \\ x = \frac{4097}{4} = 1024.25$