Question 64942: Solve, and express you answer in exact form: log(x) + ln(x) = 1
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve, and express you answer in exact form: log(x) + ln(x) = 1
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I hope you didn't make a typo here and mix up log with ln.
If you didn't and you mean what you said proceed as follows:
Rewrite logx as [lnx/ln10]
Then:
[lnx/ln10 +lnx]=1
[lnx][(1/ln10) +1]=1
lnx=1/[(ln10+1)/ln10]
x=e^[1/[(ln10+1)/ln10]
x=e^[ln10/(ln10+1)]
Cheers,
Stan H.
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