IB Logs Practice

IB Logs Practice

Multiple Select

Without a calculator, determine which of the following ISN"T possible. Check all that apply.

• log₂ (x - 4) when x = 4

• log₃ (x+3) when x = 0

• -2log₅ (x-1) when x = 0

• ¹/₂ log (x+4) when x = -2

Multiple Choice

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Multiple Choice

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

Multiple Choice

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Multiple Choice

What is the domain of log(x)?

• (-∞, ∞)
• [0, ∞)
• (0, ∞)
• Pickle

Multiple Choice

What is the range of log(x)?

• (-2, 4)
• (-∞, ∞)
• (-∞, 0)
• Cucumber

Multiple Choice

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Multiple Choice

Write the exponential equation as a logarithm

6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Multiple Choice

e^ln(f)

• f

• e

• e^f

• undefined

Multiple Choice

Evaluate log₄1

• 1

• 0

• 4

• undefined

Multiple Choice

Change to Exponential Form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Multiple Choice

 $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Multiple Choice

 $\log\left(\frac{8x}{yz}\right)\$  

• log8+logx-logy-logz

• log8+logx-logy+logz

• log(8x)-log(yz)

• 8logx-ylogz

Multiple Choice

Logarithmic functions are the inverse of...

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

Multiple Choice

• log (xy³)

• log (x⁶ − y³)

• log (x⁶/y³)

• log (x⁶ + y³)

Multiple Choice

• ln(wvu⁵)

• ln(u + v + w⁵)

• ln(uvw⁵)

• ln(uvw)⁵

Multiple Choice

Solve the following for 'x';

log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

Multiple Choice

log₂(x+3)=4

• 16

• 13

• 3

• 10

Multiple Choice

• 5

• 13

• 84

• -20

Multiple Choice

Solve

• 46/5

• 5/46

• -46/5

• -5/46

Multiple Choice

log(x+6) = 1

• 4

• 4.222

• -5

• -9.550

Multiple Choice

• -.20

• .60

• .20

• -.6

Multiple Choice

Solve for x.

e^x+6 + 5 = 1

• -4.614

• -4.236

• No Solution

• -0.334

Multiple Choice

Solve for x: log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these