SOLUTION: Solve the equation: log with a base of 9 x = 5/2. The answer is 243. Please explain how the answer was solved.

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Question 80396This question is from textbook Algebra for college students
: Solve the equation: log with a base of 9 x = 5/2. The answer is 243. Please explain how the answer was solved. This question is from textbook Algebra for college students

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A log is an exponent to a certain base. Remember, logs
are exponents.
log%289%2Cx%29+=+5%2F2
x+=+9%5E%285%2F2%29
x+=+%289%5E%281%2F2%29%29%5E5
9%5E%281%2F2%29+=+3
x+=+3%5E5
x+=+243 answer