Log & Exp Functions
Evaluate the expression: log28
What is 3?
Write log(a) + log(b) as a single log.
What is log(ab)?
State the base of a common logarithmic function.
What is 10?
What is the range of a logarithmic function?
What is All Real Numbers?
In the Product Property, Multiplication switches to ________________.
Write the equation log3729 = 6 in Exponential Form.
What is 36=729?
Expand log(x/y).
What is log(x) - log(y) ?
Evaluate log4(13). Round to the nearest tenth.
What is 1.9?
State the domain of f(x)=log₂(x-4).
x > 4
In the Quotient Property, Division switches to ________________ .
What is subtraction?
Write the exponential equation 27(1/3)=3 in Log Form.
What is log273=1/3 ?
2log(8) can also be written as...
What is log(8)2 ?
Solve: logx125 = 3
What is x = 5?
What is the asymptote equation for the graph of f(x) = log(x - 1) ?
What is x=1 ?
A Logarithmic Function is the ___________ of an Exponential Function.
What is inverse?
Write the equation log 1000 = 3 in Exponential Form.
What is 103=1000?
Fully expand the expression: log3(x4y5).
What is 4log3(x) + 5log3(y)?
What is (log(x-4)/log(3))+2 ?
What is the asymptote equation for the graph of f(x)= log(x + 2) -1 ?
What is x= -2 ?
There are three Properties of Logarithms: The Product Property, The Quotient Property and The __________ Property.
Evaluate the expression: log3(1/27).
What is -3?
Write the log expression as a single log: log3(x)-5log3(y).
What is: log3(x/y5)?
Evaluate: log₄(2) + log₄(32)
What is 3?
Describe the horizontal and vertical shifts associated with this graph: y=log2(x+5)+4.
What is a Shift Left 5 and Up 4?
We use the ____________________ formula to rewrite a log expression, so that it can be typed into the calculator with a base of 10.
What is Change-Of-Base?