Transformation Log

Change to Logarithmic Form:
5^3 = 125

• log _5 125 = 3

• log_{ 3} 125 = 5

• log _5 3 =125

• log_125 3 = 5

Change to Logarithmic Form:

12^2 = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log _12 2 = 144

• log _2 12 = 144

Change to Exponential Form:
log_289 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289^17 = 1/2

• 1/2^17 = 289

Change to Exponential Form:
log_3 81 = 4

• 81^3 = 4

• 81^4 = 3

• 34 = 81

• 4^3 =81

log_636 = 2

• 2^6=36

• 6^2=36

• 36^2=6

• 36^^6=2

Convert 3^x = 12 to the equivalent log form.

• 3¹² = x

• log_x 3 = 12

• log₃ x = 12

• log₃ 12 = x

Use the graph of f(X) to describe the transformation that results in the graph of g(x).

• Translate 5 units to the left

• Translate 5 units to the right 
  

• Translate 5 units up
  

• Translate 5 units to the down
  

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Describe the graph of f(x) = log x changed to f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift right 1 and 5 units down

• vertical stretch by 3 and shift left 1 and 5 units down

• vertical compress by 3 and shift right 1 and 5 units down

• vertical compress by 3 and shift left 1 and 5 units down

Which graph matches the equation

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