Solving Exponential Equations
94z-26=81
z=7
What is the strongest muscle in the human body?
Tongue
102=100
log10100=2
log25x
log2(5)+log2(x)
log3(7x-1)=log3(5x+17)
x=9
23x+5=64x-7
x=47/3
In 2003, a magazine had 10,000 subscribers. The number of subscribers increased by 10% each year after that. Write an exponential growth function to find the number of subscribers in 2013.
a=10,000
r=0.10
t=10
f(x)=10,000(1+0.10)10
ANSWER: 25,900 Subscribers
log749=2
72=49
log2(x/8)
log2(x)-log2(8)
2ln(c+1)=3/2(ln80-ln5)
c=7,-9
25w×625w+3=25-1
w=-7/3
Elizabeth started her career with an annual salary of $28,000. Each year thereafter, her salary increased by 3%. Write and use an exponential growth function to find her salary when she retires after 40 years.
a=28,000
r=0.03
t=40
f(x)=28,000(1-0.03)40
ANSWER: $91,337
How many bones do sharks have in their body?
None!
What was Britney Spears' first song?
...Baby One More Time
log4(2v+3)+log4(2v-3)=2
v=(5/2),(-5/2)
37-2p=(1/27)-8
p=-17/2
The half life of Mercury-197 is 3 days. Write and use an exponential decay function to find the amount of Mercury-197 left from a 50-gram sample after 20 days.
a=50
r=0.05
t=20/3f
f(x)=50(1-0.50)6.67
ANSWER: 0.50 g Mercury-197
log4(1/64)=-3
4-3=1/64
7log3m+11log3n
log3(m7n11)
What is the oldest tree?
Great Basin Bristlecone Pine
How many US states start with a vowel?
12 States!
Alabama, Alaska, Arizona, Arkansas, Idaho, Illinois, Indiana, Iowa, Ohio, Oklahoma, Oregon, and Utah
Yudelkis drank a large Starbucks drink with 100 mg of caffeine. Each hour the amount of caffeine in her system decreases by about 5%. Write and use an exponential decay function to find the amount of caffeine in her system after 5 hours.
a=100mg
r=0.05
t=5
f(x)=100(1-0.05)5
ANSWER: 77mg
ln0=1
e=0
log6(x2+2x-48)
log6(x-6)+log6(x+8)
log5(7x-9)=log5(x2-x-29)
x=10,-2