WorksheetsSolving Base E and Natural Logarithms
Total questions: 9
Worksheet time: 41mins
Name
Class
Date
1.
Expand ln xy2z3
a)
6(lnx + lny - lnz)
b)
lnx + 2lny - 3lnz
c)
lnx + (1/2)lny + (1/3)lnz
d)
lnx + 2lny + 3lnz
2.
Solve the following equation for x. Round your solution to two decimal places.
ln3x + ln2x = 3
ln3x + ln2x = 3
a)
x = 12.91
b)
x = 4.02
c)
x = 3.35
d)
x = 1.83
3.
What is the value of ln(e7)
a)
2.718...
b)
1
c)
7
d)
Does not exist
4.
Solve for x:
5 e6x+3 = 0.1
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
5.
Simplify eln(x)
a)
0
b)
1
c)
x
d)
8
6.
Rewrite in exponential form:
ln(2) = x
ln(2) = x
a)
2x = 10
b)
102 = x
c)
ex = 2
d)
e2 = x
7.
What is the log form of a = ey ?
a)
ln(a) = y
b)
ln(y) = a
c)
log(a) = y
d)
log(y) = a
8.
Log with a base "e" (loge) is the same thing as...
a)
"e"
b)
Natural Logarithm (LN)
c)
Common Logarithm (Log)
d)
Natural Log, base "e"
LNe
LNe
9.
Solve the following equation. Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12
4 - 3 ln(2x + 10) = 12
a)
x = 2.20
b)
x = 1.68
c)
x = -5.00
d)
x = -4.97
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