Logarithms

Re-Write Logs

100

5³ = 125

What is Log₅125 = 3

200

4¹ = 4

What is Log₄4 = 1

300

7^x= 343

What is Log₇343 = X

400

X⁵= 243

What is Log_x243 = 5

500

M^p= Q

What is Log_mQ = P

Re-Write Exponentials

100

Log₃2187 = 7

What is 3⁷= 2187

200

Log₅25 = 2

What is 5²= 25

300

Log₈X = 3.25

What is 8^3.25= X

400

Log_x9 = -0.6

What is X^-0.6= 9

500

Log_AB = C

What is A^C= B

Asymptote

100

A line that a graph approaches more and more closely?

Asymptote

200

What is the domain in a exponential function?

all real numbers

300

What are the two types of asymptotes?

Vertical and Horizontal

400

What equals zero in a vertical asymptote

x=0

500

What equals zero in a horizontal asymptote

y=0

Solving Logs

100

Log₃27= X

What is X = 3

200

Log₄16 = x

What is x = 2

300

Log₇ 49 = x

What is x = 2

400

Log₁₆64 = X

What is x = 1.5

500

Log₂54= x

What is x = 5.8

All the above

100

how would you tell if it's exponential decay?

base is less than one

200

base greater than one

How would you tell if it's exponential growth?

300

What should you do if the bases of the exponential equation are the same?

set the exponents equal

400

What are exponential functions inverses of?

logs

500

What is the base number for the common logarithm?

base 10