Graphs (7A)
Is this growth or decay?
y=4(2/3)^x
What is growth?
Write in log form:
3^4=81
What is
log_3(81)=4
Condense
log (m) + log (p)
What is
log (mp)
log_(1/4)x=-3
What is x = 64?
The value if $1000 earns 5% interest every year for 10 years.
What is $1628.89
Is this growth or decay?
y=5(0.84)^x
What is decay?
Write in log form:
8^-2=1/64
What is
log_8(1/64)=-2
Condense
log (7) + log (a) - 2log (b)
What is
log((7a)/b^2)
Solve:
log(4)+log(y)=log(12)
What is y=3 ?
The value if 500 loses 15% every day for 20 days.
What is 19.4 ?
The asymptote for
y=2^x-5
What is
y=-5
Write in exponential form:
Log_2(16)=4
What is
2^4=16
Expand
log (yx^3)
What is
log(y) +3log(x)
7^x=250
What is x = 2.8 ?
The equation you would solve to find out how long it would take to double a $1000 investment earning 6% compounded continuously.
What is
2000=1000e^(0.06t)
The domain for
y=3^(x+4)
What is all real numbers?
Write in exponential form:
Log_5(1/125)=-3
What is
5^-3=1/125
Condense
log(x+2) + log(3)
What is
log(3x+6)
(1/6)^(2x)= (6)^(2x-8)
What is x = 2 ?
What is
800=500(1+0.04/12)^(12t)
The asymptote for
y=log_5(x+2)-1
What is
x> -2
Write in exponential form:
Ln(148.4)=5
What is
e^5=148.4
Expand:
log_4((xy^2)/3)
What is
log_4(x)+2Log_4(y)-Log_4(3)
log_3x+log_3(x-6)=3
x=9
(x=-3 is extraneous)
The population decreases by 12% every year. If it starts with 80,000 people how long will it take for there to be 60,000 people?
What is approximately 2.3 years?