Logarithm Review W.S.
Name___________________________________
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Use a calculator to approximate each to the nearest thousandth.
1) log  
2) log  
3) log  
4) log  



Undefined
Use the properties of logarithms and the values below to find the logarithm indicated. Do not
use a calculator to evaluate the logs.
5) log   
log  
log  

Find log 

6) log   
log  
log  
Find log  
7) log  

log  
log  

Find log 

8) log  

log  
log  

Find log 

9)  
10) 
Solve each equation. Round your answers to the nearest ten-thousandth if necessary.
r

11) 

x


13) 

approximately -.4141
y

b
y
12) 

14) 
-1-
k

n
 
 


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Worksheet by Kuta Software LLC
Set up an equation. Then solve to answer each question.
15) Derek invested $1500 into an account that pays 9% interest compounded monthly. How long
must the money be left in the account for it to grow to $2147.11?
4 years
16) E. Coli bacteria have a growth rate of 116% per hour. Assume that there are initially 500 E.Coli
bacteria infecting the body. How long will it take for the bacteria population to grow to
17million?
about 13.5hours
17) How many years, to the nearest year will it take a sum of money to double if invested at 15%
compounded annually?
about 5 years
18) The half-life of a substance is 37 years. If there is originally 120g of the substance, how much
time has passed when there is 75g? Round to the nearest ten thousandth.
25.0333 years
-2-
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Worksheet by Kuta Software LLC