Question

Find the value of x for the given equation :

2^x + 2^x+1 = 24​

Answer 1

I think the question is wrong.

correct question would be : 4^x - 4^(x-1) = 24

but answer of your question according to me is.

$2 {}^{x} + 2 {}^{(x + 1)} = 24 \\ 2 {}^{x} (1 - 2 {}^{1} ) = 24 \\ 2 {}^{x} - 1 = 24 \\ 2 {}^{x} = 25$

$x = log_{2}(25) \\ x = 4.65 \: (approx)$