Exponentials and Logarithms: Day 2

Solving Exponential Equations

100

2^x=8

What is x=3?

200

x³=18

What is x=2.62?

300

4^x+2+2=18

What is x=0?

400

4^x-3+8=16

What is x=4.5?

500

3*(¼)^2x=30

What is x=-.83/

Solving Logarithm Equations

100

log₃12=x

What is 2.26?

200

log(2x)=3

What is 500?

300

log_x20=2

What is 4.47?

400

Solve: log4 + logx = 2

What is x=25?

500

Solve: log₄15x - log₄3 = 3

What is x = 12.8?

Expand Logs

100

log(xy)

What is logx + logy

200

log(^x2⁄_y

What is 2logx - logy

300

log₈(x⁷y²z³)

What is 7log₈x + 2log₈y + 3log₈z?

400

log₄(3x²y⁴)

What is log₄3 +2 log₄x +4log₄y?

500

ln(^x3⁄_4y²

What is 3lnx - ln4 - 2lny?

Graph Stuff

100

What is the domain of f(x) = e^x?

What is all real numbers?

200

Describe the transformations of the graph f(x) = 2^{x to create the graph of g(x) = 2x-3+1}

What is right 3, up 1?

300

What is the domain of f(x)=log₄x?

What is x>0?

400

What is the asymptote of f(x)=log₈x?

What is x = 0?

500

f(x) = log(x - 3) The functions is ______ (increasing or decreasing) over x>____

What is increasing over x>3?

Inverses (don't choose 100 or 500)

100

:)

What is :)

200

What is the inverse of f(x) = 3^x?

What is f^-1(x) = log₃x?

300

What is the inverse of f(x) = log₆x?

What is f^-1(x)=6^x?

400

What is the inverse of f(x) = e^x?

What is f^-1(x) = lnx

500

Write a logarithm equivalent to log₉3

What is log_{some number}square root of number