Logarithms Review

Domain and Range

100

What is the range of the logarithmic parent function?

All real numbers

200

What is the domain of the logarithmic parent function?

x>0

300

Find the domain of log(x+7)

x > -7

400

Find the domain and range of log (2x-8)

D: x > 4

R: all real numbers

500

Find the domain, range, and asymptote of log (3x+9)

D: x > -3

R: all real numbers

A: x = -3

Intro to Logarithms

100

Evaluate log₂16

4

200

Evaluate log₅1/125

-3

300

The solution of log₉x=3

x=729

400

The solution of log_b196 = 2

b = 14

500

The solution of log₁₁(x²-15)=log₁₁(2x)

x = 5

Properties of Logarithms

100

The solution of log₅3 + log₅x = log₅99

x = 33

200

The solution of log₃x - log₃7 = log₃5

x = 35

300

The solution of 2log₇5 - (1/3)log₇125 = log₇x

x = 5

400

The solution of log₄x - (1/4)log₄16 = (1/2)log₄49

x = 14

500

The solution of log₆(x² + 2) + log₆2 = 2

x = 4

Common Logarithms

100

The base of common logarithms

10

200

Evaluate to 4 decimal places: log(28)

1.4472

300

Evaluate using the change of base formula (round to 4 decimal places)

log₇26

1.6743

400

The solution of 9^x = 73

Round to 4 decimal places

1.9527

500

The solution of 

5^x+3 = 17

Round to 4 decimal places

x = -1.2396

Natural Logarithms

100

The base of natural logarithms

e

200

The approximate value of e (give 5 decimal places)

2.71828

300

The abbreviation used for natural logarithms

ln

400

The solution of 3e^x + 1 = 5

Round to 4 decimal places)

x = 0.2877

500

The solution of ln(x - 7)=2

Round to 4 decimal places

14.3891