1. AM 6.1i Solve for Exponents
AM 6.1i Solve for Exponents

2. Can you tell, just by looking at the equation?
What is the initial amount?
P(x) = 5,000 (3 0.07x)
P(0) = 5,000 (3 0.07*0)
Can you tell, just by looking at the equation?
SA: The initial amount is 5,000.

3. SA: It will take 9 years to double.
How long will it take to double this? (1 dec. place)?
P(x) = 5,000 (3 0.07x)
10,000 = 5,000 (3 0.07x)
SA: It will take 9 years to double.

4. SA: It will take 13.2 years to double.
39—How long will it take to double (1 dec. place)?
P(x) = e x
= e x LN LN
LN 2 = x
SA: It will take 13.2 years to double.

5. SA: It will take 17.3 years to double.
How long will it take to double this? (1 dec. place)?
P(x) = 300 e 0.04x
600 = 300 e 0.04x LN LN
LN 2 = 0.04x
SA: It will take 17.3 years to double.

6. SA: It will take 27.5 years to triple.
How long will it take to triple this? (1 dec. place)?
P(x) = 300 e 0.04x
900 = 300 e 0.04x LN LN
LN 3 = 0.04x
SA: It will take 27.5 years to triple.

7. SA: It will take 1.7 days to double.
Log and Exponent Handout #48: To double? (1 dec. pl)
y= 300 e 0.4x
600 = 300 e 0.4x LN LN
LN 2 = 0.4x
SA: It will take 1.7 days to double.

8. Log and Exponent Handout #47: To halve? (1 dec. pl)
y = 2 e t
1 = 2 e t LN LN
LN .5 = t
SA: It will take 5.5 years to halve.

9. What will take longer to double: One penny or a billion dollars?
Thinking Question
What will take longer to double:
One penny or a billion dollars?
Raise your left hand for 1 ¢
Right for $1,000,0000,000