Solve the following equations for x 2x 6 23x 4 4x 8 89

Solve the following equations for x. 2^x + 6 = 2^3x - 4 4^x * 8 = 8^9 - x

Solution: - 2^{x +6} = 2^3x-4

Base of the both sides of equation is equal

Hence x +6 = 3x - 4

x - 3x = -4 -6 = -10

-2x = -10

x = 5

Part 2: - 4^x-8 = 8^{9 -x}

^{Equalize the base}

2^{2x -16} =2^{27 -3x}

^{2x -16 = 27 -3x}

^{5x =43}

^{x = 43/5}