Logs
2
Simplify:
log base 3 (9) - log base 3 (3) = ?
1
Is this growth or decay:
f(x) = (.333)^x
Decay
I place $10 into the bank with an 15% interest that gets compounded monthly. How much will I have in 2 years?
$13.47
How are logarithms and exponential graphs related
They are inverses
log1000 = ?
3
log base 2 (x + 5) + log base 2 (3) = 18
x = 3
What are the transformations for:
f(x) = 2^(x+2) - 2
Left 2, Down 2
How long does it take for $15,000 to double if it is compounded monthly at a rate of 9%
7.73 years
What type of asymptote does a log have
A vertical asymptote
log (base x) of 512 = 3
x = 8
3log 8 (4) = ?
2
find the equation with the points
(1, 3/4) (2 , 3/16) (3, 3/64)
3 times (1/4) ^ x
How long will it take for $10,000 to double if it increases with a rate of %10 and it is compounded continuously
6.93 years
What line are inverses reflected from
x=y
8
EXPAND:
log10x/9
log 10 + log x - log 9
Find the equation to the parent log with base of 2 when:
It is transformed to the right 3, reflected across x axis, down 6
-log 2 (x + 3) - 6
If I put $7000 into account with an unknown rate that compounds monthly and one year later it has $42,000 in the account, what is the unknown rate?
193.2%
Find the inverse of f(x) = rad(x+2) -7
f(x)-1 = x^2 - 14x +47
log (base 7) fifth root of 49 = ?
2/5
2log base 6 (3) + 3log (6) 2 = log base 6 (12x) - 2 log base 6 (2)
x = 3
If f(x)= x^3/2 + 27 and g(x)=x^2
What is the inverse of f(g(x))?
f(g(x))-1 = the cubic root of (x - 27)
One day I put $500 dollars into a savings account that compounds monthly at a rate of 15%. Seven years later I took the amount of money that accumulated in that account and put it into a new account that compounds continuously at a rate of 20%. How much will be in this account in two years.
$2117.73
How do you spell the full word of log correctly
logarithm