SOLUTION: Solve equation. Round to the nearest ten-thousandths. 5-3^x = -40

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve equation. Round to the nearest ten-thousandths. 5-3^x = -40      Log On


   



Question 861910: Solve equation. Round to the nearest ten-thousandths. 5-3^x = -40
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5-3%5Ex+++=++-40
-5%2B3%5Ex=40
3%5Ex=45
x=log%283%2C45%29
x=log%28%2845%29%29%2Flog%28%283%29%29
You can work it out to whatever precision you need.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
5-3^x = -40
If it's 5 - (3)^x = -45 and not (-3)^x
-3^x = -45
3^x = 45
x*log(3) = log(45)
x = log(45)/log(3)
x =~ 3.465
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