log2x/y
log2x - log2y
logx + logy
log(xy)
log17(-2x-1)=log1717
-9
The population of foxes in a particular national park is modeled by equation, y = 215(0.94)x, starting in 2004. What does 215 represent?
The number of foxes we started with.
4x = 43
x = 3
log6(xy3)
log6x + 3log6y
log23 + 4log2y
log23y4
log8x = 3
x = 512
The population of foxes in a particular national park is modeled by equation, y = 215(1.06)x, starting in 2004. What does .06 represent?
A 6% population increase.
14x = 88
x = 1.70
log5(uv3)4
4log5u + 12log5v
5logx - 12logy
log(x5/y12)
7+log3(x) = 11
x = 81
Maverick has a baseball collection valued at $525. The value increases by 1.2% annually. Create an equation that represents the value, y, of the collection after t years.
Use y = A(1 +r)t
y = 525(1.012)t
16-2x+2 = 8
.625 or 5/8
log4 ((x2y3) / z2)
2log4x +3log4y - 2log4z
Can you name the steps and operations for condensing logs?
1. Power (coefficient to exponent)
2. Product (add to multiply)
3. Quotient (subtract to divide)
-7log(6-3n) = -7
-4/3 or -1.33
$1500 is invested into an account that earns 5% interest compounded weekly. Find the balance after 3 years.
Use y = p(1 + r/n)nt
$1742.63
What is Mr. Harty's son's name?
Expand log3(81x). The determine the transformation.
4+log3x
Up 4
log9x + 5log9y - 6log9z
log9((xy5)/z6)
9log9(2x - 9) + 6 = 24
x = 45
$2000 is invested into an account that earns 6% interest compounded quarterly. How long will it take for the account to double in value?
12 years
8(4-9-5x)+1 = 33
x = -2