SOLUTION: please solve and show the work for 5^x=25^4 Thank you

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Question 151484: please solve and show the work for 5^x=25^4
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%5Ex=25%5E4 Start with the given equation.


5%5Ex=%285%5E2%29%5E4 Rewrite 25 as 5%5E2


5%5Ex=5%5E%282%2A4%29 Multiply the exponents.


5%5Ex=5%5E%288%29 Multiply.


Since the bases are equal, this means that the exponents are equal. So

x=8