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log(xy)
log(x)+log(y)
5logx+5logy
log(xy)5
log100.000001
-6
Convert 312 = 531441 into a logarithm. Make sure to use the proper wordage when giving your answer.
log3(531441)= 12
"Log base 3 of 531,441 equals 12"
What is the domain and range of the following logarithmic function?
f(x) = log2x
Domain- (0, ∞)
Range- (-∞, ∞)
log(xzw)7
7log(x)+7log(z)+7log(w)
5log(x)+log(y)-log(z)
log(x5y/z)
log3243
5
Convert the following into an exponential function: log5(1/3125) = x
5x= 1/3125
If I asked you to graph f(x) = log2x using it's exponential inverse, how would you do it?
Find points for the inverse function f-1(x) = 2x. Flip the points so that my old xs become my new ys and vice versa. Then plot and connect the new points.
log4xy3
log4x+3log4y
6log(x)+4log(x)-7log(x)
log(x)3
log927
3/2
If e4/5 = 2.225 approximately. Write this expression as a logarithm. Make sure to use the proper wordage when giving your answer.
ln(2.225) = 4/5
"The natural log of 2.225 equals 4/5"
What does the a value do to the graph of a logarithm when it is negative?
Flips/reflects the graph over the x-axis
log(xy/zw)
log(x)+log(y)-log(z)-log(w)
5log(x)-6log(y)-7log(x)
log(1/y6x2)
log0.2564
-3
Convert the following into an exponential function: log4x = 4
Then, solve for x.
44= x
x = 256
Describe the following transformations of this logarithmic expression:
f(x) = log3(x-5)
The graph moves to the right 5 units
log(4x/y5)
log(4)+log(x)-5log(y)
3/2log(x4)+2/3log(y6)
log(x6y4)
log1.60.625
-1
When a logarithm has no base written as a subscript, what do we assume that value is?
10
Describe the following transformations of this logarithmic expression:
f(x) = 2log7x + 8
The graph stretches by a factor of 2 and the graph moves up 8 units