SOLUTION: Evaluate each logarithm a. log[16]1 b. log[e]e4 c. log[10]0.01 d. log[3]27 e. log[5] 3square root 5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate each logarithm a. log[16]1 b. log[e]e4 c. log[10]0.01 d. log[3]27 e. log[5] 3square root 5      Log On


   

Question 599874: Evaluate each logarithm
a. log[16]1
b. log[e]e4
c. log[10]0.01
d. log[3]27
e. log[5] 3square root 5
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate each logarithm
a. log[16]1=0 (16^0=1) (exponential form)
b. log[e]e4=4 (base raised to exponent=exponent)
c. log[10]0.01=log[10](10^-2)=-2 (base raised to exponent=exponent)
d. log[3]27=3 (3^3=27) (exponential form)
e. log[5] 3square root 5
log[5](3√5)
5^x=3√5 (exponential form)
take log of both sides
xlog(5)=log(3)+1/2*log(5)
x=[log(3)+1/2*log(5)]/log(5)
x≈1.1826
log[5] 3square root 5=log[5](3√5)=1.1826