Question

What would x be in this problem?

Answer 1

`x=1`

Explanation:

`6^5 = 6^x+6^4\\6^5 = 6^(x+4)\leftarrow \text {Apply product rule.}\\5=x+4 \leftarrow \text {Apply rule: If } a^(f(x))=a^(g(x))\text{, then} f(x) = g(x)\\5-4=x+4-4\\\boxed {x=1}`