Final Exam Review

Graphing exponential

100

What is the parent function for a exponential equation 

f(x)=b^x

200

If b>1 the function is an...?

Exponential Growth

300

What is the definition of a asymptote 

An asymptote is a line the function approaches but never touches or crosses. 

400

Is the equation, f(x)=3^x an exponential growth or decay?

The equation f(x)=3^x is an exponential growth

500

What does the asymptote equal every time?

0

Solving exponential equations

100

What are the two different ways to solve exponential equations? 

With bases and without bases

200

If two bases are the same and multiplying each other, you can...?

Add the powers.

300

To solve exponential equations, you must...?

Rewrite at least one of them to get a common base.

400

If one of the bases is a fraction, you can still do what...?

A negative power gives you a fraction.

500

If you can't have a base that equals up to the other base, you have to...?

Rewrite both bases to get a common base.

Converting log to exponential or exponential to log

100

What is the logarithmic formula?

log_ba=x

200

What is the exponential formula?

b^x=a

300

What is the exponential form for log₃9=2?

3²=9

400

What is the log form for 14²=196?

log₁₄196=2

500

Evaluate the following log, log₇49.

2

Condensing logs/exponential

100

Condense the following, log₂7 + log₂4

log₂28

200

Condense the following, log25 + log 4

2

300

Condense the following, log₂15 - log₂15

0

400

Condense the following, log₃24 - log₃8

1

500

Condense the following, 5log₄2

log₄32

Expanding Logs/exponential

100

Expand the following, log₂(5x)

log₂5 + log₂x

200

Expand the following, log₈4

log₈8 - log₈2

300

Expand the following, log₂8⁷​​​​

7log₂8³

400

Expand the following, 3log4^x-1

(3x-3)*log4

500

Expand the following, log₇/w

1/2log₇w