Question

solve for x: 8^x+1=16^x+2​

Answer 1

Step-by-step explanation:

$8^{x+1}=16^{x+2}$

First we make all the bases same by,

=> $2^{3(x+1)} =2^{4(x+2)}$

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

Since all the bases are same,

∴ 3x + 3=4x+8

=> 3-8 = 4x-3x

=> -5 = x

=> x = -5 (Ans)