SOLUTION: Hi i'm stuck with this one can anyone point me in the right direction Solve log(2x+3)=log(4x)+2 for x giving answer correct to 3 sig figures

You can put this solution on YOUR website!
You must know the following Rule: log a - log b = log (a/b).
If you do you see your problem can be rewritten as follows:
log(2x+3)- log(4x) = 2
log [2x+3}/[4x] = 2
Now, assuming the base is "10" you get;
[2x+3]/[4x} = 10^2
Then 2x+3 = 100(4x)
Then 3 = 398x
Finally x = 3/398
Cheers,
stan H.

You can put this solution on YOUR website!
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;

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

Now use your log property to turn the left side into one log;

Now use the inverse log property, (u is a function)

Rewrite 100 as 100/1

Cross multiply;

Solve for x;




There you go!