Equivalent Expressions Questions

Saad Abdullah MajrashiAssignment Homework 6 due 10/26/2021 at 11:59pm CDT
1. (1 point) Match the statements defined below with the
letters labeling their equivalent expressions.
1.
2.
3.
4.
A.
B.
C.
D.
f21akapshukt0320s002
1
(b) log2 16
= −4.
That is, write your answer in the form DE = F. Then
D=
E=
F=
ln(yx )
ln xy
ln(xy)
ln(xy )
ln x + ln y
x ln y
ln x − ln y
y ln x
Answer(s) submitted:
•
•
•
•
•
•
Answer(s) submitted:
•
•
•
•
(incorrect)
4. (1 point)
(a) If log3 x = 3, then x =
(b) If log5 x = 3, then x =
(incorrect)
2. (1 point) Use the Laws of logarithms to rewrite the expression
 s 
ln x5
.
.
Answer(s) submitted:
•
•
y3 
z8
(incorrect)
in a form with no logarithm of a product, quotient or power.
After rewriting we have
 s 
y3 
= A ln x + B ln y +C ln z
ln x5
z8
5. (1 point) Solve the following equation. If necessary, enter
your answer as an expression involving natural logarithms or as
a decimal approximation that is correct to at least four decimal
places.
log10 (3x + 3) = 3
with the constant
A=
the constant
B=
and the constant
C=
x=
Answer(s) submitted:
•
(incorrect)
Answer(s) submitted:
•
•
•
6. (1 point) Solve the following equation. If necessary, enter
your answer as an expression involving natural logarithms or as
a decimal approximation that is correct to at least four decimal
places.
(incorrect)
5ex − 17 = 8
3. (1 point) Express the equation in exponential form
(a) log32 2 = 15 .
That is, write your answer in the form AB = C. Then
A=
x=
Answer(s) submitted:
•
B=
C=
(incorrect)
1
is
x=
7. (1 point) Solve the following equation. If necessary, enter
your answer as an expression involving natural logarithms or as
a decimal approximation that is correct to at least four decimal
places.
Answer(s) submitted:
•
e5x = 17
(incorrect)
x=
9. (1 point)
Solve the equation
Answer(s) submitted:
•
ex+3 = ex + 2
(incorrect)
8. (1 point) Exponential Equations. Understand how to
solve equations involving exponentials. For example, the largest
solution of the equation
2
x2 −5x+9
x=
Answer(s) submitted:
•
=8
(incorrect)
Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America
2