SOLUTION: solve for x: 59.2=42.5(1.64)^x

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Question 234094: solve for x:
59.2=42.5(1.64)^x
Found 2 solutions by Alan3354, eggsarecool:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
59.2=42.5(1.64)^x
1.64^x = 592/425
x*log(1.64) = log(592/425)
x = log(592/425)/log(1.64)
x =~ 0.66994135

Answer by eggsarecool(46) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x:
59.2=42.5%281.64%29%5Ex
So first we divide both sides by 42.5
1.39=%281.64%29%5Ex
Now we will take ln of both sides. This helps because there is a property of logarithms that says the following ln%28a%29%5Eb=bln%28a%29 In english it basically allows you to take the exponent outside the logarithm.
So applying this to our equation gives us.
ln%281.39%29=ln%281.64%29%5Ex
Now I will move the x outside.
ln%281.39%29=xln%281.64%29
Now all that is left is to divide both sides by ln%281.64%29
%28ln%281.39%29%2Fln%281.64%29%29=x
Using a calculator you can get a decimal value of.
x=0.666