SOLUTION: Please help me solve this equation: {{{ 3ln(5x) = 10 }}}

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Question 470448: Please help me solve this equation: +3ln%285x%29+=+10+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation
3ln(5x) = 10
**
3ln(5x) = 10
ln((5x)^3)=10
convert to exponential form: (base(e) raised to log of number(10)=number((5x)^3)
e^10=125x^3
x^3=e^10/125
take cube root of both sides
x=e^(10/3)/5
x=20.03/5=5.61
Check:
3ln(5x)=3(ln(5.61*5)=10