Logarithms

WHAT?

1

If the log of a number has a negative result, then the number has to be a positive number that is __?__

less than 1 

2

Evaluate log -15

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3

Evaluate log 100 without a calculator

2

4

Rewrite  y = 8^x  in log form

log₈ y = x

5

State the asymptote for y = log₂ x

x = 0

ARE U KIDDING?

1

Logarithms with an invisible base have a base of _?_ and are called _?_ logs.

10, common

2

Evaluate log₂₅ 5 without a calculator

1/2

3

The inverse of an exponential function is a __?__

logarithmic function

4

Given log₅ 25 = 2, state the vocabulary term that represents  a) 5  and b) 2

Extra point for c) 25

a) base

b) exponent

c) argument

5

Evaluate log₇ 343 without a calculator

3

FOR REAL?

1

Evaluate  log .001 without a calculator

-3

2

Evaluate log .63 to the nearest thousandth

-.201

3

A line that a graph approaches but does not touch is called an __?__. (Extra point for spelling)

asymptote

4

The base of a logarithm cannot be _?_, _?_, or

_?_.

0, 1, or negative

5

Evaluate log₄ 1/64 without a calculator

-3

COME ON NOW?

1

Evaluate log .014 to the nearest thousandth.

-1.854

2

State the range of y = 3^x, using interval notation.

[Hint: same as domain of  y = log₃ x]

(0, infinity)

3

Rewrite log₆ 216 = 3 in exponential form 

6³ = 216

4

Evaluate log 24 to the nearest hundredth

1.38

5

State three ordered pairs on the graph y = 4^x,

(at least one x-value must be negative)

(-3, 1/64) , (-2, 1/16) , (-1, 1/4) , (0, 1) ,

(1, 4) , (2, 16) , (3, 64)

HUH?

1

Rewrite log₉ 3 = 1/2 in exponential form

9^1/2 = 3

2

Evaluate log 1 without a calculator

0

3

State the x-intercept for 

y = log₂ x as an ordered pair.

(1, 0)

4

Inverse functions, like exponential and logarithmic functions, are reflections of each other across the line __?__

y = x

5

Evaluate log_1/6 36 without a calculator

-2