Logarithms
Rewrite 53 = 125 in log form.
Log5(125) = 3
A fair coin is tossed twice. What is the probability of getting exactly one head?
0.5
Solve for x:
5(2x-3) = 4x+9
X = 4
Differentiate f(x) = 5x3
F’(x) = 15x2
What university did I go to?
The University of Sydney
Solve for x:
Log2(x) = 5
X = 32
A box contains 5 green marbles, 4 yellow marbles, and 1 purple marble. Two marbles are drawn without replacement. What is the probability that both marbles drawn are yellow?
2/15
Solve for x:
-(x+1)2+5=0
X = 1.24 OR -3.24
Find f’(x) if f(x) = 3x4-2x2+7
F’(x) = 12x3-4x
What year did I complete high school?
2019
Use log laws to simplify:
Log(3x) + log(2) - log(5)
Log(6x/5)
A box contains 5 red, 3 green, and 2 blue counters. Two counters are drawn at random. What is the probability that they are different colours?
31/45
Solve for x:
2x2-3x-9 = 0
X = 3 OR -1.5
Find the gradient of the tangent to the curve y=x2-4x+1 at the point x = 3
8
How many dogs do I have?
2
Solve for x:
Log3(x-1) + log3(2) = 4
X = 41.5
If A = {even numbers greater than 0} and B = {prime numbers}. What would A∩B be?
A∩B = {2}
The area of a rectangle is 225 square units. Its length is 16 more that its width. Find its width.
9 units
Find the gradient of the tangent to the curve
f(x) = 1/√(x+1)
At the point x = 5
-0.034
What is my star sign?
Aquarius
Evaluate the expression log5(37) to three decimal places.
2.244
A jar contains 4 red lollies, 5 green lollies, and 3 blue lollies. Two lollies are drawn one after the other without replacement. Given that the first lolly drawn was green, what is the probability that the second lolly drawn is red?
4/11
If the average of three numbers is V, and one of the numbers is Z and another is Y. What is the remaining number?
3V-Z-Y
A particle moves along a line with displacement (in metres) given by:
S(t) = 4t3-3t2+2t, where t is measured in seconds.
Find the velocity of the particle when t = 238 m/s
What is my favourite band?
The Smashing Pumpkins