SOLUTION: 5.2 Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents 9^4^x^-1=729 The solution set is { }

Algebra ->  Graphs -> SOLUTION: 5.2 Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents 9^4^x^-1=729 The solution set is { }      Log On


   



Question 1012159: 5.2
Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents
9^4^x^-1=729
The solution set is { }

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.
9^4^x^-1=729
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9%5E%284x-1%29 = 729.

Notice that 729 = 9%5E3.

Thus

9%5E%284x-1%29 = 9%5E3.

Hence,

4x-1 = 3.

Solve it yourself.