Expanding Logs
Condensing Logs
Solving Exponential Equations
Review
Random
100
Expand the following:
log_9(x^5y^3)
5log_9x+3log_9y
100
Condense the following:
log_2a-log_2b
log_2(a/b)
100
Solve for x, round to the nearest ten-thousandths place:
3(10^(8x)) = 41
x = 0.1420
100
If the domain of a function is [3,150] and the range is [0,10], what is the domain and range of the inverse function?
Domain: [0,10]
Range: [3,150]
100
Finish the famous Spongebob saying: "I'm , I'm !"
"I'm READY, I'm READY!"
200
Expand the following:
log_5(x^3/y^7)
3log_5x-7log_5y
200
Condense the following:
log_3x+log_3y+2log_3z
log_3(xyz^2)
200
Solve for x, round to the nearest ten-thousandths place:
10^(x-7)+5=32
x= 8.4314
200
What transformations are happening to the following logarithmic function?
log_2(x-4)
Horizontal shift 4 units to the right
200
How many years has Mrs. Carthan been teaching, including this year?
5 years
300
Expand the following:
log_2(xy^2)^4
4log_2x+8log_2y
300
Condense the following:
4log_3a-6log_3c
log_3(a^4/c^6)
300
Solve for x, round to the nearest ten-thousandths place:
10^x/3+7=4
No solution
300
What transformations are happening to the following logarithmic function:
log_3(x+1)+3
Horizontal shift left 1 and vertical shift up 3
300
Who won the 2026 Super Bowl?
Seattle Seahawks
400
Expand the following:
log_3((x^4)/(x-2))
4log_3x-log_3(x-2)
400
Condense the following:
log_6(12)-3log_6b+3log_6c
log_6(12/(b^3c^3))
400
Solve for x, round to the nearest ten-thousandths place:
-9(10^x) + 3 = -6
x = 1
400
Simplify the following expression using exponent properties:
(2x^3)^2/(-8(x^4)^-1
x^10/-2
400
Name the 4 houses at Hogwarts.
Slytherin
Gryffindor
Hufflepuff
Ravenclaw
500
Expand the following:
log_8((64xy^3)/z^2)
2+log_8x+3log_8y-2log_8z
500
Condense the following:
2log(x+1)+log5-7logx
log((5(x+1)^2)/(x^7))
500
Identify the solution to the following system of equations:
y=10^(-5x)+50
y=100,050
(-1, 100,050)
500
Create the table of values you would plot for the following function:
y=log_4(x)-4
(1/16,-6)
(1/4,-5)
(1,-4)
(4,-3)
(16,-2)
500
Name all 6 of the Infinity Stones
- Space Stone (Blue)
- Mind Stone (Yellow)
- Reality Stone (Red)
- Power Stone (Purple)
- Time Stone (Green)
- Soul Stone (Orange)
