When solving this equation you get x = -3.
To solve this, simply follow the order of operations for solving.
[tex] \frac{5}{7^{3}} = 5(7^{x} ) [/tex] ----> start by dividing both sides by 5
[tex] \frac{1}{7^{3}} = (7^{x} ) [/tex] -----> Now you can transform the front side of the equation to use negative exponents.
[tex] 7^{-3} = 7^{x} [/tex]
Since both x and -3 are the powers of x, we can eliminate the 7 and just make the exponents equal.
-3 = x
