#### Question

Solve the following equation for x:

`2^(5x+3)=8^(x+3)`

#### Solution

`2^(5x+3)=8^(x+3)`

`rArr2^(5x+3)=(2^3)^(x+3)`

`rArr2^(5x+3)=2^(3x+9)`

⇒ 5x + 3 = 3x + 9

⇒ 5x - 3x = 9 - 3

⇒ 2x = 6

⇒ x = 6/2

⇒ x = 3

Is there an error in this question or solution?

Solution Solve the Following Equation For X: `2^(5x+3)=8^(X+3)` Concept: Laws of Exponents for Real Numbers.