Log to Exponential Form

Logarithms and Exponentials are what?

• parallel
• perpendiular 
• inverses
• congurent

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

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

Change to Exponential Form:
log_636 = 2

• 2^6=36
• 6^2=36
• 36^2=6
• 36^^6=2

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

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

Rewrite as an exponential:
log₃(9)=2.

• 3⁹=2
• 3²=9
• x²=9
• 3^x=2

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Change to Exponential Form:
log₃ 81 = 4

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