WorksheetsExponential & Logarithms
Total questions: 15
Worksheet time: 40mins
Name
Class
Date
1.
To evaluate a logarithm statement log981, you think "9 to what power is 81".
a)
True, and it's 2
b)
False
2.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
3.
Condense the following logarithm: 3 log2 x + 2 log2 y – 4 log2 z
a)
log2 x3y2∕z4
b)
log2 x3y2z4
c)
log2 xyz9
d)
9log2 xyz
4.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
5.
ln e5=
a)
e5
b)
ln 5
c)
5
d)
5e
6.
The range for exponential growth functions is...?
a)
y>0
b)
y≥0
c)
all real numbers
d)
all non negative numbers
7.
Derive y=e3x
a)
e3x
b)
3e3x
c)
3x
d)
3xe3x
8.
Find the derivative f(x) = xex
a)
f'(x) = ex
b)
f'(x) = xex + xex
c)
f'(x) = ex - xex
d)
f'(x) = ex + xex
9.
Write the logarithm expression as a single logarithm
log54 + log53
a)
log57
b)
log512
c)
log75
d)
3log54
10.
Write the logarithm expression as a single logarithm
log460 - log44 + log4x
a)
log415
b)
log415x
c)
log456x
d)
xlog430
11.
Find the derivative:
y=4e3x²-4
y=4e3x²-4
a)
y=4e3x²-4
b)
y=12xe3x²-4
c)
y=4xe3x²-4
12.
Find the derivative f(x) = x2/ex
a)
f'(x) = (x2ex - 2xex) / (ex)2
b)
f'(x) = (2xex + x2ex) / (ex)2
c)
f'(x) = (2xex - x2ex) / (ex)2
d)
f'(x) = x2ex + 2xex
13.
What is the derivative of xn?
a)
(n-1)xn
b)
nxn+1
c)
(n+1)xn-1
d)
nxn-1
14.
For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.
a)
increasing
b)
decreasing
c)
concave up
d)
concave down
15.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
100 %
