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

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) (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
RELATED QUESTIONS
Evaluate each logarithm a. log(16)1 b. log (e)e4 c. log(10)0.01 d. log(3)27 e.... (answered by lwsshak3)

Write as a single logarithm a) 2 log 5 log b b) 3 log x + 1/2 log y c) 2 log m + log n (answered by lwsshak3)

Evaluate each Logarithm. log 5 125 log 1/2 1/4 log 3 729 log 9 1/3 log 1/4 16... (answered by edjones)

given that log 8=0.9031 and log 9=0.9542 and obviously log 10=1, which logarithm cannot... (answered by stanbon)

Evaluate the following expressions: a. log downward exponient 13 1 b. ln e... (answered by Alan3354)

Evaluate the following expressions: a. log downward exponient 13 1 b. ln e upward... (answered by josgarithmetic)

Evaluate the following expressions: a. log downward exponient 13 1 b. ln e... (answered by Alan3354,greenestamps,josgarithmetic)

Write�this�expression�in�a�single�logarithm�log�2�+�log�5: a. log�2.5 b. log�10 c.... (answered by MathLover1)

8. Given log(70) = 1.8451 , find a approximation for each logarithm a) log(7) b)... (answered by lwsshak3)