Question

if f(x)=3lnx+C and f(e)=2 then find the value of C
help please<3

Answer 1

\[f(x) = 3\ln x + C\]
\[f(e) = 2\]
just substitute the x in f(x) with e and equate it to 2
\[f(e) = 3\ln (e) + C \]
\[3 \ln (e) + C = 2\]
\[3(1) + C = 2\]
\[3 + C = 2\]
\[C = 2- 3\]
\[C = -1\]
got it?

Answer 2

oh ok but may i ask why you made lnx = 1?

Answer 3

or ln(e)

Answer 4

because ln is \(\large \log_e\)

therefore \[\large \ln e = \log_e e = 1\]

Answer 5

ohh ok thankss

Answer 6

welcome ^_^