Q:

Need Answer NOW!!! Solve for the following equation step by step and justify your steps when using an exponential property.

Accepted Solution

A:
Answer:x = 5/7Step-by-step explanation:(7^x)^4) = 7^2 * 7^3 / 7^3x1. Simplify the expression(7^x)^4) becomes 7^4x7^2 * 7^3 becomes 7^57^5/7^3x becomes 7^5 - 7^3xYour new equation: 7^4x = 7^5 - 7^3x2. Since the bases(7) are the same set the exponents equal to each other4x = 5 - 3x3. Combine like terms4x + 3x = 57x = 5 4. Divide both sides by 7 to get x by itselfx = 5/7