Question

x* ln(3)=2-x *ln(2)

Answer 1

don't forget that \(\ln(3)\) and \(\ln(2)\) are just numbers

Answer 2

so you get
\[x\ln(3)+x\ln(2)=2\]by adding to both sides, then factor as
\[x(\ln(3)+\ln(2))=2\] and finally
\[x=\frac{2}{\ln(3)+\ln(2)}\]

Answer 3

you can write
\[x=\frac{2}{\ln(6)}\] if you like since \(\ln(a)+\ln(b)=\ln(ab)\)

Answer 4

ok I was thrown by the x in front... thanks

Answer 5

yw