Question

Find the value of x if 2 to the power 5x+3 is equal to 8 to the power x+3​

Answer 1

Step-by-step explanation:

${2}^{(5x + 3)} = {8}^{(x + 3)} \\ = > {2}^{(5x + 3)} = {2}^{3 \times (x + 3)}$

On comparing the power of 2 both side we have,

$5x + 3 = 3(x + 3) \\ = > 5x + 3 = 3x + 9 \\ = > 5x - 3x = 9 - 3 \\ = > 2x = 6 \\ = > x = 3$

Here you go budd. Best of Luck

Answer 2

Answer:

$\mathtt{ {2}^{5x + 3} = {8}^{x + 3} } \\ \\ \implies \mathtt{ {8}^{5x + 3 + 3} = {8}^{x + 3}} \\ \\ \implies \mathtt{ {8}^{5x + 6} = {8}^{x + 3}} \\ \\ \implies \mathtt{5x + 6 = x + 3} \\ \\ \implies \mathtt{4x = - 3} \\ \\ \implies \mathtt{x = \frac{ - 3}{4} }$