The value of x in the equation 4^ (2x+5) = 8^ (3x)

4 ⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

But 4 = 2² and 8 = 2³

4 ⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

2² ⁽²ˣ ⁺ ⁵⁾ = (2³) ³ˣ

Multiply out the powers, also since the

2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

Since the bases are the same, hence the powers are also the same.

4x + 10 = 9x

4x - 9x = - 10

-5x = - 10

x = - 10/-5

x = 2

Hope this explains it.