Question 23788
Hi, thanks for writing!


**Pretend that parentheses are around the 2x+3 and 4x, for some reason, they don't show up here.
So we have;

{{{log(2x+3)=log(4x)+2}}}

Subtract the log on the right side over to the left side;

{{{log(2x+3)-log(4x)=2}}}

Now use your log property to turn the left side into one log;{{{log(a)-log(b)=log(a/b)}}}

{{{log((2x+3)/(4x))=2}}}

Now use the inverse log property, {{{10^log(u)=u}}} (u is a function)

{{{(2x+3)/(4x)=100}}}

Rewrite 100 as 100/1

{{{(2x+3)/(4x)=100/1}}}

Cross multiply;

{{{400x=2x+3}}}

Solve for x;
{{{398x=3}}}

{{{x = 3/398 }}}
{{{x=0.0075376884422110552763819095477387}}}
{{{x(ALMOST) = 0.008}}}
There you go!