Question

2^5x+3 is equal to 8^x+3​

Answer 1

Answer:

x = 3

Step-by-step explanation:

$2^{5x + 3} = 8^{x + 3}$

⇒$2^{5x + 3} = (2^{3})^{x + 3}$

⇒$2^{5x + 3} = 2^{3(x + 3)}$

Bases are equal then powers are also equal.

⇒5x + 3 = 3(x + 3)

⇒5x + 3 = 3x + 9

⇒5x - 3x = 9 - 3

⇒2x = 6

⇒x = 6/2

∴x = 3