Exponential and Logarithmic Equations- Algebra 2

A logarithm is always equal to what?

• The Base

• The Exponent

• The Answer

• A piece of wood

Rewrite  $3^3=27$ as a logarithm

•  $\log_327=3$  

•  $\log_{27}3=3$  

•  $\log_33=27$  

Rewrite $\log_636=2$  as an exponential function.

•  $6^{36}=2$  

•  $6^2=36$  

•  $36^2=6$  

•  $2^6=36$  

A song on spotify has 1200 streams. If the number of plays increases by 8% every year, compounded daily, how many years will it take to reach 5000 streams?

• 18.54

• 89.45

• 6511.93

• 17.84

Rewrite  $a^b=c$  as a logarithm.

•  $\log_ab=c$  

•  $\log_bc=a$  

•  $\log_ca=b$  

•  $\log_ac=b$  

Mr. Holt's YouTube video has 100 views. It increases continuously by 12.7%. How many views will it have after 10 years?

• 330.552

• 356.085

• 2.202

• 7.843

Solve for  x  in the equation  $5^{2x-6}=625$  

• x=2

• x=3

• x=4

• x=5

Rewrite  $8^2=64$ as a logarithm

•  $\log_264=8$  

•  $\log_864=2$  

•  $\log_{64}8=2$  

•  $\log_82=64$  

What Letter is the most difficult to write in LOG?

• L

• O

• G

• 28

What is the base of the logarithmic function $y=\ln\left(2\right)$  

• 10

• It has no base 

•  $e$  

• 1