Algebra 2 Logarithm Review

Expand completely: log(2x⁵) 

• log 2 + 5log x

• 5log 2 + 5log x

• 5log 2 + log x

• log 10 + log x

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69

• log₅56

• log₅162

• log₅98

7^3x-1 = 21. Use common logs to solve.

• x = 1.5645

• x = 1.8549

• x = 0.8549

• x = .7741

Solve using the properties. 3log₄a = log₄27

• 16

• 27

• 3

• 9

Solve log(x) + log(x-1) = log(3x+12)

• x = -3, 4

• x = -2, 6

• x = -4, 3

• x = -6, 2

Use a LOG to solve the exponential function: 4^x = 19

• x = 2.1

• x = 4.8

• x =5.2

• x = 1.4

Use a LOG to solve the Exponential Function.
7^x = 29

• x = 4

• x = 1.73

• x = 4.14

• x = 2.35

Solve the exponential function using a LOG.
3^x = 30

• x = 10

• x = 2.98

• x = 3.10

• x = 4.22

Solve the natural logarithm using LN.
e^x = 12

• x=2.48

• x = 1.79

• x = 6

• x = 3.45

Solve the exponential function using a Natural Logarithm (LN)
e^x + 8 =14

• x = 1.79

• x = 4.21

• x = -3.5

• x = 1.27