Question

solve 2 power 5x+3=8 power x+3

Answer 1

${2}^{(5x + 3)} = {8}^{(x + 3)} \\ {2}^{(5x + 3)} = {2}^{3(x + 3)} \\ \\ 5x + 3 = 3x + 9 \\ 2x = 6\\ x = 3$
Hence, x=3.

Answer 2

${2}^{5x + 3} = {8}^{x + 3} \\ {2}^{5x + 3 } = {2}^{3(x + 3)} \\ {2}^{5x + 3 \: } = {2}^{3x + 9} \\ 5x + 3 = 3x + 9 \\ 5x - 3x = 9 - 3 \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3$
Hence x is is 3

I hope this helps you