Question

if 4^2x+1=8^x+3 then x​

Answer 1

x = 7

Step-by-step explanation:

Given :

${4}^{2x + 1} = {8}^{x + 3}$

To find :

The value of x.

Solution :

${4}^{2x + 1} = {8}^{x + 3} \\ \implies \: { ({2}^{2} )}^{2x + 1} = { ({2}^{3}) }^{x + 3} \\ \implies \: {2}^{4x + 2} = {2}^{3x + 9} \\ \implies \: 4x + 2 = 3x + 9 \\ \implies \: 4x - 3x = 9 - 2 \\ \implies \: x = 7$

Hence, x = 7