Question

Solve for the following equation step by step and justify your steps when using an exponential property. (7^x)^4=7^2-7^3/7^3x

Answer 1

The equation is (7^x)^4 = (7^2 × 7^3)/ 7^3x
(7^x)^4 is equal to 7^(4x)
7^2 × 7^3 is equal to 7^(2+3) which gives 7^5
therefore;
7^5/7^3x is equal to 7^(5-3x)
Hence we get;
   7^(4x)=7^(5-3x)
 thus;  4x = 5-3x
           7x = 5 (solving for x)
Therefore; x = 5/7