SOLUTION: If 3^2m-1 multiplied by 9^m equals 81, what is the value of m?

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Question 1131407: If 3^2m-1 multiplied by 9^m equals 81, what is the value of m?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%5E%282m-1%29+%2A+9%5Em=+81
3%5E%282m-1%29+%2A+%283%5E2%29%5Em=+3%5E4
3%5E%282m-1%29+%2A+3%5E%282m%29=+3%5E4
3%5E%282m-1%2B2m%29=+3%5E4...same base, so
2m-1%2B2m=+4
4m=+4%2B1
4m=+5
m=+5%2F4