SOLUTION: 3 to the 4th power = 27 to the m-2 power. What is m? I made the 27 = to 3 to the third power and multiplied the 3(m-2). I then set that equal to 4. 4=3(m-2) It doesn't see

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 3 to the 4th power = 27 to the m-2 power. What is m? I made the 27 = to 3 to the third power and multiplied the 3(m-2). I then set that equal to 4. 4=3(m-2) It doesn't see      Log On


   



Question 525757: 3 to the 4th power = 27 to the m-2 power.
What is m?
I made the 27 = to 3 to the third power and multiplied the 3(m-2). I then set that equal to 4. 4=3(m-2) It doesn't seem right because then m=3 1/3 which means it would be 27 to the 4/3 power. Is that possible?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Not only possible, but exactly correct. Recall that



so



John

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