Logarithmic form of 36 = 10y
log36 = y
16 - 2t = t + 9 + 4t
t = 1
A square has a side length of 6 inches. What is its area?
216cm3
(5+15i)2
-200+150i
definition of a variable
a symbol, typically a letter, that represents an unknown or unspecified numerical value, often used in equations, expressions, and formulas.
Exponential form of log84x =y 8y =4x
8y =4x
x/x+15 = 4/9
x = 12
A cube has a side length of 3 meters. What is its volume?
27cm3
What is the solution of (5i+2)+(6i+6)?
8+11i
definition of a function
a relation between a set of inputs and a set of outputs, where each input is associated with exactly one output
Find Product log57x + log54x
log528
2e = 2 + 4e + 8
e = -5
What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
50cm2
What is the Solution of (-6+7i)(8-10i)?
22+116i
Definition of volume
the amount of three-dimensional space an object occupies, often measured in cubic units
Find Product of log158x + log154y
log158x4y
Three times a certain number added to twice the difference between the number and 4 is greater than 2. Find the possible range of values of the number.
x > 2
A medicine bottle is in the shape of a right circular cylinder. If the volume of the bottle is 144pi cubic centimeters, what is the diameter of the base of the bottle, in centimeters?
Hint: V=pi r^2 h
what is 8 cm
(8i+7)-(9+11i)?
-2-3i
definition of a linear equation
an algebraic equation where each variable term is raised to the power of 1, and when graphed, it always represents a straight line.
Find Quotient of log15 8x - log15 4y
log15 8x/4y
Amy is 20 years older than Mina. Two years ago, Amy was two times as old as Mina. How old is Amy and Mina now?
A = 42
M = 22
The volume of a right circular cone A is 225 cubic inches. What is the volume, in cubic inches, of a right circular cone with twice the radius and twice the height of cone A?
Hint:V=⅓pi r2 h
1800 cubic inches
What is the Solution of (9-10i)(8+5i)?
122-35i
definition of logarithm
a quantity representing the power to which a fixed number must be raised to produce a given number.