Question

16powerX+1=2power16,find the value of x

Answer 1

$16 {}^{x + 1} = 2 {}^{16} \\ \\ 2 {}^{4(x + 1)} = 2 {}^{16} \\ \\ since \: base \: are \: equal \: so \: power \: are \: also \: equal \\ \\ therefore \\ \\ 4(x + 1) = 16 \\ \\ x + 1 = \frac{16}{4} \\ \\ x + 1 = 4 \\ \\ x = 4 - 1 \\ \\ x = 3 \\ \\ hope \: it \: helps.....$