SOLUTION: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 9(1.09^(2x + 1)) = 15

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 9(1.09^(2x + 1)) = 15      Log On


   

Question 947774: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
9(1.09^(2x + 1)) = 15
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
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Use logarithms to solve the given equation. (Round the answer to four decimal places.)
9(1.09^(2x + 1)) = 15


9%281.09%5E%282x+%2B+1%29%29+=+15

1.09%5E%282x+%2B+1%29+=+15%2F9

1.09%5E%282x+%2B+1%29+=+5%2F3

log+%281.09%2C+%285%2F3%29%29+=+2x+%2B+1

2x+%2B+1+=+%28log+%285%2F3%29%29%2Flog%281.09%29

2x+=+%28log+%285%2F3%29%29%2Flog%281.09%29-+1

x+=+%28log+%285%2F3%29%29%2Flog%281.09%29-+1%22%F7%222

x = 2.463793 ≈ highlight_green%282.4638%29