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

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

Start with the given equation.

Divide both sides by 3.

Rewrite 25 as

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

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

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Answer:

So the answer is

Which approximates to
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