Exponential and Log basics and graphing 7-1 and 7-2

Rewrite in exponential form:

log₉x=2

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Rewrite log_pt = m in exponential form.

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

log₅25 = ?

• 2
• 5
• 125
• 10

Which graph matches this equation?

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Which graph matches the equation?

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What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

What kind of shift  is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

What kind of shift happens with this function?

• 4 points up
• 4 points to the left
• 4 points to the right
• 4 points down