Question

Solve equation:

1/2lg(3x+1)-1=lg(x-3)-lg(5)

Answer 1

What is lg ?

Answer 2

natural log

Answer 3

Just wright it as ln.

Answer 4

why?

Answer 5

ok, ok

Answer 6

\[\frac{ 1 }{ 2 }\ln(3x+1)-1=\ln(x-3)-\ln(5)\]
\[\ln(\sqrt{3x+1})-\ln(x-3)=1-\ln(5)\]
\[\ln(\frac{ \sqrt{3x+1} }{x-3})=\ln(e)-\ln(5)\]
\[\ln(\frac{ \sqrt{3x+1} }{x-3})=\ln(e)-\ln(5)\]
\[\ln(\frac{ \sqrt{3x+1} }{x-3})=\ln(e)-\ln(5)\]I am losing my connection will finish this