Exponential and Logarithmic Functions: Comparing Logarithmic and Exponential Functions

think icon Think & Click: Properties of Logarithms

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Write log812 – log86 as a single logarithm.
 

log base 8 of the quotient of 12 divided by 6 equals log base 8 of 2
 

Evaluate log base 2 of 2 to the fifth power.
 

log base 2 of 2 to the fifth power equals five times log base two of two equals five times one equals five
 

Write ln 3 + ln 5 as a single logarithm.
 

ln (3 times 5) = ln 15
 

Evaluate log103
 

log103 = 3log10 = 3(1) = 3
 

Evaluate e3ln5
 

e raised to the 3 times natural log of 5 equals e raised to the natural log of 5 cubed equals 5 cubed equals 125
 

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