SOLUTION: SOLVE THE EQUATION 3 x 5^(2t-1)=75

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Question 150970: SOLVE THE EQUATION 3 x 5^(2t-1)=75
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the "x" is really a multiplication symbol.

3%2A5%5E%282t-1%29=75 Start with the given equation.


5%5E%282t-1%29=25 Divide both sides by 3.


5%5E%282t-1%29=5%5E2 Rewrite 25 as 5%5E2


2t-1=2 Since the bases are equal, this means that the exponents are equal.


2t=2%2B1 Add 1 to both sides.


2t=3 Combine like terms on the right side.


t=%283%29%2F%282%29 Divide both sides by 2 to isolate t.


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Answer:

So the answer is t=3%2F2


Which approximates to t=1.5