To determine
a) To find: The exact value of e2ln3
Explanation
We know that elnu=u and lnax=xlna
Therefore e2ln3=eln32=eln9=9
Final statement: e2ln3=9
To determine
b) To find: The exact value of log10(25)+log10(4)
Explanation
We know that log10(x)+log10(y)=log10(xy) and logax=xloga
Therefore
log10(25)+log10(4)=log10(25×4)=log10(100)=log10102=2log1010=2(1)=2
Final statement: log10(25)+log10(4)=2