Answer:
x = 2.4
Step-by-step explanation:
16^(4x - 3) = 8 ^ (2x + 4)
16 = 2^4
8 = 2^3
2 ^ 4*(4x - 3) = 2^3(2x + 4)
Since the bases are the same, you can equate the powers
4(4x - 3) + 3*(2x + 4) Remove the brackets.
16x - 12 = 6x + 12 Subtract 6x from both sides
16x - 6x - 12 = 12 Combine the terms on the left
10x - 12 = 12 Add 12 to both sides
10x = 24 Divide by 10
x = 2.4
