Question

2ln 3x +1 = 5

Answer 1

solve for x?

Answer 2

2 ln( 3x+1) =5

devide by 2 both sides

ln(3x+1) = 5/2

Answer 3

a Hint :-

e^(ln x) =x

Answer 4

so
e^ln(3x+1) = 3x+1

Answer 5

how ever u have
ln(3x+1) = 5/2

so
e^ln(3x+1) =e^(5/2)

3x+1 = e^(5/2 )
solve for x

Answer 6

\[\huge \ln(3x+1)^{2}=5\]
\[\huge (3x+1)^{2}=10^{5}\]
\[\huge 3x+1=\sqrt{10^{5}}\]
\[\huge 3x+1=100\sqrt{10}\]
\[\huge x=\frac{ 100\sqrt{10}-1 }{ 3 }\]

Answer 7

wow !
seems i forget about math xD

Answer 8

but since its ln not log we use e as inverse not 10