Question

if 4^2x+1=8^x+3then X
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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}

{2^{2} )}^{2x + 1} = {({2}^{3}) }^{x + 3}

⟹ 2^(4x + 2) = 2^(3x + 9)

⟹ 4x + 2 = 3x + 9

⟹ 4x − 3x = 9 −2

⟹ x = 7

Hence, x = 7.