SOLUTION: What is the value of x when e^(2x) = 7e^x-12
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Question 518402: What is the value of x when e^(2x) = 7e^x-12
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Take the natural log of both sides:
\ =\ \ln\left(7e^{x\ -\ 12}\right))
The log of the product is the sum of the logs:
\ =\ \ln\left(7\right)\ +\ \ln\left(e^{x\ -\ 12}\right))
Use
\ =\ n\log_b(x))
and
\ =\ 1)
to write
\ +\ x\ -\ 12)
\ -\ 12)
Is the exact answer. A numerical approximation is right there in your calculator.
John
My calculator said it, I believe it, that settles it
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