SOLUTION: Solve for x, given the equation, 5+3ln(x) = 7ln(x^2). Answer with three significant digits.

Question 407594: Solve for x, given the equation, 5+3ln(x) = 7ln(x^2). Answer with three significant digits.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve for x, given the equation, 5+3ln(x) = 7ln(x^2). Answer with three significant digits.
..
5+3ln(x) = 7ln(x^2)
7ln(x^2)-3ln(x)=5
ln(x^2)^7-lnx^3=5
lnx^14-lnx^3=5
ln(x^14/x^3)=5
convert to esponential form,
e^5=x^11
x=e^(5/11)
x=1.5755
ans:
x=1.58
..
Check:
5+3lnx=5+3ln(1.5755)=6.36
7ln(x^2)=7ln(1.5755^2)=6.36
confirmed: left-hand side= right-hand side

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