SOLUTION: Solve, and express you answer in exact form: log(x) + ln(x) = 1

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
------------
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.
RELATED QUESTIONS
Solve, and express you answer in exact form: log(x) + ln(x) =... (answered by rapaljer)

Solve each logarithmic equation. Express all solution in exact form.... (answered by josgarithmetic)

solve, expressing your answer in exact form:... (answered by josgarithmetic,MathTherapy)

solve equation and express solution in exact form... (answered by Alan3354)

Solve each logarithmic equation. Express all solution in exact form. log x+... (answered by josgarithmetic,MathTherapy)

Solve the equation and express the solution in exact form. ln(32x - 1) = ln... (answered by stanbon)

log(base x)(216)=3 solve for x and express irrational solutions in exact... (answered by nerdybill)

solve log equations put in exact form 1. ln x + ln x^3 = 12 2. log(2x+3) = 0.25 (answered by lynnlo)

Solve, expressing your answer in exact form:... (answered by Alan3354)