Answer:
k=2/3
Step-by-step explanation:
Step 1:
Step 1 in solving the exponential equations is re-writing the base same as other side of the equation
so,
[tex]25^{3k}=625\\=> 25^{3k}=25^2[/tex]
Step 2:
Second step is equating the exponents
The rule used is:
[tex]If\ B^m=B^n\ then\ m=n[/tex]
So in this case
[tex]3k=2\\k = \frac{2}{3}[/tex]
So the solution is:
k=2/3 ..
