Logs to Exponential and Vice Versa

Logarithms and Exponentials are what?

• parallel
• perpendiular 
• inverses
• congurent

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:
5^3 = 125

• log _5 125 = 3
• log_{ 3} 125 = 5
• log _5 3 =125
• log_125 3 = 5

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:

12^2 = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log _12 2 = 144

• log _2 12 = 144

Tags

CCSS.HSF.BF.B.5

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

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log_3 81 = 4

• 813 = 4
• 814 = 3
• 34 = 81
• 43 =81

Tags

CCSS.HSF.BF.B.5

Rewrite as an exponential:
log(10,000)=4.

• e⁴=10,000
• 4^10,000=10
• 10⁴=10,000
• 0⁴=10

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5
• log ₅ 1024 = 4
• log ₄ 5 = 1024
• log ₅ 4 = 1024

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
2^-1 = 0.5

• log ₂ 0.5 = -1
• log _-1 0.5 = 2
• log ₂ -1 = 0.5
• log _-1 2 = 0.5

Tags

CCSS.HSF.BF.B.5