LOG Problems

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Answer explanation

The base is the base

The answer to a log is the exponent

Tags

CCSS.HSF.BF.B.5

Which of the following yields a negative answer.

GREAT ACT problem. If you need to use a calculator, that is OK, but takes time.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Answer explanation

Any number (except 0) raise to the 0 power equals 1

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Find the value of y. log_y (16) = 2

• y=1

• y=2

• y=3

• y=4

Tags

CCSS.HSF.BF.B.5

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions