Let me correct the numbers, they jumped all over the place
Number one is
ln(10/9)+2ln(9/5)-ln9
Number two:
ln(e^3)+ln(sqrt e * e^3)+ln (1/ (e^3/2) )
So i need some help with two problems this time and the first one is:
ln910+2ln59−ln9
I have already tried to simplify it according to the logarithmical laws but i just can't get it right, maybe i find this so difficult because it's natural logarithms which i am not used to dealing with.
The second one is: lne3+ln(ee3)+ln1e32
I keep getting the answer 3 but that is apperantly not correct and i honestly can't see why. I figured that since e=e^1/2I would after simplifiyng ee3 get 3/2. I also figured that ln1e32
would equal -3/2. That would mean that the whole thing equals 3...but it's not lol. I could really use some help.
Remember that lnA + lnB = ln (AxB), and lnA - lnB = ln(A/B). So your problem becomes
ln((10/9 x (9/5)^2)/9) = ln(10/(5^2)) = ln(10/25) = ln(2/5).
That should be 3+ ln(e^(1/2) * e^3)- 3/2. Note the minus sign!
Should be 3 + 1/2 + 3 - 3/2 = 5.