questions in math 105

please answer the questions that are shown in the attached file below with clear steps. thanks

*1. For the following equation, find x.
2
logox = log 625+
3
los
log,64 – log 520
(Type an integer or a simplified fraction.)
2. Solve.
The solution is x =
(Simplify your answer.)
log 2x = 4
3. Solve for x.
log x + log (x + 15) = 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no solution.
4. Solve for x.
log 5(4x – 1) = 3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is x =
(Type an exact answer in simplified form. Use a comma to separate answers as needed.)
B. The solution is not a real number.
Solve for x.
log 6(X + 8) + log 6(x- 8) = 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no solution.
6. Solve for x.
log x-log(x + 4) = -1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no solution.
• 7. Solve.
The solution is x=
log 24 = x
– 8. Solve.
The solution is x=
log 327 = x
9. Find the logarithm.
log 171 =
log 171
10. Convert to a logarithmic equation.
Complete the equivalent logarithmic equation.
161/4 = 2
log 16
(Type integers or fractions.)
11. Solve for x.
log 5(x + 1) – log 5x = 4
+
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is x =
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as
needed.)
B. The equation has no solution.
*12.
Find x in the following equation.
3
log bx == log 64-
2log 54 – 10g13
XE
(Type an integer or a fraction. Simplify your answer.)
13. Solve.
The solution is x =
(Type an integer or a simplified fraction.)
log 4x = -1
1. Divide and simplify.
X3 – 8 x2 – 4
x3 +8 x2 – 2x + 4
The simplified quotient is
(Simplify your answer.)
2. Find the domain of the function.
7
g(x) =
67
8-7x
Choose the correct domain below.
A.
{xixis
1 x is a real number and x 2
B. {1 x is a real number and x # 0}
C. {x 1 x is a real number and x # 7}
8
D. 1 x is a real number and x #
{xl
i
3. Multiply and simplify.
d3 + 8 d2 – 4d + 4
d2-4 d2 – 2d +4
The simplified product is
4. Solve using the addition principle and the multiplication principle together. Don’t forget to perform a check.
719 – 7(8-1)] – 9=9[7(9r – 8) + 6) — 82
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
be
A. The solution is r=
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
11/20/2017
Pre Final Intermediate Algebra-Miftahul Qorib
5. Solve using the principles together. Don’t forget to check.
(7y + 14) – 7
1
(14y – 28)
7
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
A. The solution is y =
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
*6. For the following equation, find x.
2
log bx = log b 25+ log b8 – log b 10
2
3
-{ logo
X=
(Type an integer or a simplified fraction.)
7. Divide and simplify.
52-5
22-1
22 – 142 + 49
z? – 32 – 28
The simplified quotient is
(Type your answer in factored form.)
8. Perform the indicated operations and simplify.
X-11
X- -5
x + 4
+
x + 6
x? – 36
X-6
x + 4 X-11
X-5
+
X + 6
X-6
(Simplify your answer.)
x2 – 36
9. Solve the following inequality.
19 – (2x + 3) = 2(x + 3) + x
Select the correct choice below and fill in the answer box to complete your choice.
(Simplify your answer. Type an integer or a decimal.)
A. The solution set is {x\x2
}
B. The solution set is {xlx < } C. The solution set is {xlx>
}.
D. The solution set is {xlxs
}.
10. Solve the following system of equations by the elimination method.
4r – 3s = 11
3r – 6s = 3
What is the solution of the system? Select the correct choice below, and fill in the answer box if necessary.
☺ A. The solution is
(Type an ordered pair. Use integers or fractions for any numbers in the expression.)
B. There are infinitely many solutions.
C. There is no solution.
11. Solve by the elimination method.
What is the solution of the system? Select the correct
choice below and, if necessary, fill in the answer box to
complete your choice.
4x + 5y = 1
8x + 10y = 2
A. The solution is
(Simplify your answer. Type an ordered
pair. Use integers or fractions for any
numbers in the expression.)
8. There are infinitely many solutions.
C. There is no solution.
12. Solve the equation.
7(5x – 10)- 515 – 10x) + 91 – 7x + 10) = – 3(8 – 7x)
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your
choice.
A. The solution is x=
· (Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
13. Perform the indicated operations and simplify.
x + 5
X + 5
3x + 19
x² – 2x-3
X-3
X + 1
X + 5
x + 5
3x + 19
x² – 2x-3
X- – 3
X + 1
(Simplify your answer.)