Exponential and Logarithmic Functions as Inverses

Logarithms and Exponentials are what?

• parallel

• perpendiular 

• inverses

• congurent

Solve for x.
5^x = 1

• 0

• -1

• 2

• 1

Solve for x.
2^x = 16

• 5

• 2

• 3

• 4

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

log_3 81 = 4

• 81^3 = 4

• 81^4 = 3

• 34 = 81

• 4^3 =81

log₃(9)=2.

• 3⁹=2

• 3²=9

• x²=9

• 3^x=2

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

• e⁴=10,000

• 4^10,000=10

• 10⁴=10,000

• 0⁴=10

The natural logarithm has what base?

• 10

• 0

• e

• -e

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2