Properties of Logs
True or False?
Loga(a)a=a
True
a=a
Solve for x:
2x=23
x=3
Write in LOG form and Solve for Y.
8Y = 64
Log8(64)=y
y=2
Condense:
2loga(m) - 3loga(n)
loga(m2/n3)
How much interest will you earn in 5 years if you invest $2500 at 5.2% compounded monthly? ( round to the nearest whole dollar)
FV= $3241
True or False?
Log(a)/Log(b)= Log(a-b)
False.
Log(a)/Log(b)= Log(a) - Log(b)
Solve for x:
23x=64
x=3
Write in EXPO form and Solve for Y.
Log2(8)=y
2y=8
y=3
Are the functions inverses?
f(x)= 1+log2x
g(x)= 2x-1
Yes. Both simplify to X.
How much compound interest will you earn in 1 year if you invest $8,000 at 7% compounded monthly? (round to nearest whole dollar)
FV= $8578
log( x/y3)= log(x)-3log(y)
True
log (x/y3)= log(x)-3log(y)
Solve for x:
256=4x-5
x=9
Write in EXPO form and solve for y:
Log9 ( 1/81) = y
9Y=1/81
Y= -2
Find the inverse of the function:
f(x)=log5(2x-1)-7
y= (5x+7+1)/2
How much compound interest will you earn in 1 year if you invest $8,000 at 7.7% compounded annually? (round to nearest whole dollar)
FV= $ 8616
True or False?
(log(a))(log(b))= log(a+b)
False
(log(a))(log(b))=log(a)+log(b)
Solve for x:
3x+1=-2
No solution. 3 and -2 can never have the same base in common.
Write in LOG form and solve for y:
y-2= 1/16
logy(1/16)= -2
y= 4
Are the functions inverses?
f(x)= 8-5x
g(x)= 8+ 1/5x
No.
f(g(x)= -32-x
g(f(x)= 48/5-x
You borrowed $59,000 for 2 years at 11% compounded annually. How much money will you pay back? ( round to nearest whole dollar)
FV= $72,694
Write out:
log10( ab/cd)
[log(a)+log(b)] - [log(c)+log(d)]
Solve for x:
8x+2=16x+1
x=5
Write in LOG form and solve for y:
3-y= 1/81
Log3(1/81)=-y
y=4
Find the inverse of the function?
f(x)= 3log(2+3x)
y= (10x/3-2)/3
Your $54,200 2 year car loan is at 15.1% compounded annually. What will you have paid for your car after 2 years? ( round to nearest whole dollar)
FV= $ 71,804