SOLUTION: Solve the following equation. Show all your work. 2log9(2x+5)-1=0

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Question 170409: Solve the following equation. Show all your work.
2log9(2x+5)-1=0
Answer by Alan3354(21583) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equation. Show all your work.
2log9(2x+5)-1=0
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I'll assume it's log base 9
2log%289%2C%282x%2B5%29%29-1=0
2log%289%2C%282x%2B5%29%29+=+1
log%289%2C%282x%2B5%29%5E2%29+=+1
Both sides are exponents of 9
%282x%2B5%29%5E2+=+9
2x+5 = 3 or -3
2x = -2 and -8
x = -1 and -4