Chapter 14-15 Review

Log functions 101

100

If "Log" does not have a number next to it, what is the base?

The base is 10

200

What does "b" represent in a logarithmic function

Example: log_b (a) = x

b represents the base

a represents the solution

x represents the exponent

300

How would you figure out x, the exponent in this equation?

4^x = 64

You would do the inverse functions of exponents (logarithmic function). 

Rewrite the equation as, log₄ (64) = x

Exponential functions

100

What is the solution? (a)

4⁵ = a

(Hint: Put the equations in your calculator)

a = 1024

200

What is the solution? (a)

6³ = a

(Hint: Put the equations in your calculator)

a = 216

300

What is the solution? (a)

16⁴ = a

(Hint: Put the equations in your calculator)

a = 65536

Logarithmic functions

100

What does x equal?

log₄ (16) = x

(Hint: Put the equations in your calculator)

x = 2

200

What does x equal?

log₅ (625) = x

(Hint: Put the equations in your calculator)

x = 4

300

What does x equal?

log (1000) = x

(Hint: Put the equations in your calculator)

x = 3