Question

15 Points! Math help

Answer 1

7

Explanation:

`(5^(11))/(5^x)=5^4\qquad\text{multiply both sides by}\ 5^x\\\\5^(11)=5^4\cdot5^x\qquad\text{use}\ a^n\cdot a^m=a^(n+m)\\\\5^(11)=5^(4+x)\iff11=4+x\qquad\text{subtract 4 from both sides}\\\\11-4=4-4+x\\\\7=x\to x=7`