9) The value of x for which () = (27)-3* is A. 5 3. B. 11 3 11 D.- 3. x+2 10) If 3*-1= (V3)* then x = A. 0 В. -5 D. --4 + 7(3*)-- 6 = 0 is C. In 11) The solution of the equation 32x+1 2 A. - 1 B. In D. 3 3 12) If52x-16(5*)+25%30 then x =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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Question

Solve Q9, 10 & 11 showing clearly all steps

1) 4* 2*+1
1
A. 1
B: 2*-1
C. 2* D.
2) If 4* = 2*+1 then x =
A. 2
C. -
С.
3
1
D.
2
B. 1
3) Given that 4* – 3(2*) + 2 = 0 the value(s) of x is (are):
A. 2 B. 1 C. 2 and 0 D: 1 and 0
4) The value(s) of m for which: 1-2e-m- 3e
A 0 and In3 B. -1 and In3
5) If 8*-3= 4*+1, then x =
– 2m =0 is (are):
С.О
D. In3
C. - 11 D.- 7
A. 11
5) If x+ x
В. 10
1/3
6 = 0, the value(s) of x is (are)
В. —9,4
-
C. -27, 8
D. 27,8
А. —3, 2
7) If 4* = 2*+1 – 1, then x =
С. 1
-Đ.
2
A. -1
В.О
1
8) If 2x-1=then x =
A. -
1
B.
D.
2
-
|
4
2
4
9) The value of x for which -
(27)-3* is
3
3
11
7
A.
3
D.
11
7
X+2
10) If 3*-1= (V3)
then x =
A. 0
В.-5
D.--4
11) The solution of the equation 32x+1
+ 7(3*) -- 6 = 0 is
2
B. In
2
D.
3.
A. - 1
C. In
3
12) If52x-1 6(5*)+ 25 = 0 then x
A. 1, 2
•13) Given that x and y are greater than 1 and that:x = y2x and y = x³, the values of x and y
|
В. О, 2
С. 2
D. 1
%3D
are:
A. x = 3, y = 9B. x = 2, y = 8 C. x = 9,y = 21 D. x = 9, y = 27
14) If log: 125 = m then m =
A -3
В. —2
С. 1
D. 3
a 15) (log3 25)(log; 3) =
A. logg 28
16) If x = log2 3 then 16*
A. 27 B. 81 C. 3 D. 9
17) Given that e3* - 3ex - 4e-* = 0 the real value of x is:
В. 2
C. log15 75
D. 5
%3D
|
A. -In1
B.ln 4 In+
D. -In4
2
2
4
Transcribed Image Text:1) 4* 2*+1 1 A. 1 B: 2*-1 C. 2* D. 2) If 4* = 2*+1 then x = A. 2 C. - С. 3 1 D. 2 B. 1 3) Given that 4* – 3(2*) + 2 = 0 the value(s) of x is (are): A. 2 B. 1 C. 2 and 0 D: 1 and 0 4) The value(s) of m for which: 1-2e-m- 3e A 0 and In3 B. -1 and In3 5) If 8*-3= 4*+1, then x = – 2m =0 is (are): С.О D. In3 C. - 11 D.- 7 A. 11 5) If x+ x В. 10 1/3 6 = 0, the value(s) of x is (are) В. —9,4 - C. -27, 8 D. 27,8 А. —3, 2 7) If 4* = 2*+1 – 1, then x = С. 1 -Đ. 2 A. -1 В.О 1 8) If 2x-1=then x = A. - 1 B. D. 2 - | 4 2 4 9) The value of x for which - (27)-3* is 3 3 11 7 A. 3 D. 11 7 X+2 10) If 3*-1= (V3) then x = A. 0 В.-5 D.--4 11) The solution of the equation 32x+1 + 7(3*) -- 6 = 0 is 2 B. In 2 D. 3. A. - 1 C. In 3 12) If52x-1 6(5*)+ 25 = 0 then x A. 1, 2 •13) Given that x and y are greater than 1 and that:x = y2x and y = x³, the values of x and y | В. О, 2 С. 2 D. 1 %3D are: A. x = 3, y = 9B. x = 2, y = 8 C. x = 9,y = 21 D. x = 9, y = 27 14) If log: 125 = m then m = A -3 В. —2 С. 1 D. 3 a 15) (log3 25)(log; 3) = A. logg 28 16) If x = log2 3 then 16* A. 27 B. 81 C. 3 D. 9 17) Given that e3* - 3ex - 4e-* = 0 the real value of x is: В. 2 C. log15 75 D. 5 %3D | A. -In1 B.ln 4 In+ D. -In4 2 2 4
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