SOLUTION: Please solve with steps 9 to the power of y/5 = 27

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Question 133287: Please solve with steps
9 to the power of y/5 = 27
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9%5E%28y%2F5%29=27 Start with the given equation


%283%5E2%29%5E%28y%2F5%29=27 Rewrite 9 as 3%5E2


%283%5E2%29%5E%28y%2F5%29=3%5E3 Rewrite 27 as 3%5E3



3%5E%282%2A%28y%2F5%29%29=3%5E3 Multiply the exponents. Remember, %28x%5Ey%29%5Ez=x%5E%28y%2Az%29


3%5E%282y%2F5%29=3%5E3 Multiply


2y%2F5=3 Since the bases are equal, this means that the exponents are equal


2y=15 Multiply both sides by 5


y=15%2F2 Divide both sides by 2


So our answer is

y=15%2F2 or y=7.5