SOLUTION: for
2e^(3x)=4e^(5x)
solve for x using logarithms.
Algebra.Com
Question 326073: for
2e^(3x)=4e^(5x)
solve for x using logarithms.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Divide both sides by 2:
Take the natural log of both sides:
\ =\ \ln\left(2e^{5x}\right))
The log of the product is the sum of the logs.
\ =\ \ln(2)\ +\ \ln\left(e^{5x}\right))
Use the rule: \ =\ n\log_b(x))
\ =\ \ln(2)\ +\ 5x\,\cdot\,\ln\left(e\right))
Use: \ =\ 1)
\ +\ 5x)
)
}{-2}\ \approx\ -0.347)
John
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