25) if: 4 log10 x - iog16 y = log10 13, then B. 4 = 13y A. 4x = 13y C. x*y = 13 D. x* = 13y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Solve Q24, 25 & 26 showing clearly all steps

18) If In x – In8 +21n4
= 0 then x =
A. 0
В. 1
E.0.5 D. 2
19) Given that log,5 + log2(x - 3) + 3, x = ', &
A. 6
18
B.
17
11
C D.
- -
5
3
5
$20) The values of x for which log,x – 2logx = 1 is (are): *
A. B. 3. 9 C 9 D.9
9 D. 9
3
3
21) If log, y = 3 and log, 9y = 5 then
A. x= 3, y = 27
C.x = 3, y = – 27
%3D
B. x = -3, y = -27
%3D
D. x = -3, y = 27
%3D
22) Given that log x?y3 = a and log (-) = b, then log x =
a+2b
A.
3a+b
D.
a+3b
2a+b
В.
5
23) if log10 2 = a then log35 =
1-a
D.
3a
1-a
3--3a
В.
1-a
С.
2a
A.
a
24) Given that iog,6= m and log,5 = n the value of log: 10 is :
A. m(n+ 1)- 1 B. m(n- 1) + C. m(n + 1) +1 D. m(n- 1)- !
25) if: 4 log10 x - log16 y = log10 13, then
A. 4x = 13y
26) if in x +2 = 2iny then xD
B. 4* = 13y
C. x*y = 13
D. x* = 13y
A.
D.
B.
C.
27)en 2x
A. 4x
B. 2x?
C. 4x-
D. n? 2x
28} The values of x which satisfy the equation 3%x - 10(3**1) + 34 = 0 is
A.x = 2 or x = 3
B. x = 3or x = - 1
C.x = 1 or x = --3 D.x = 1orx = 3
Transcribed Image Text:18) If In x – In8 +21n4 = 0 then x = A. 0 В. 1 E.0.5 D. 2 19) Given that log,5 + log2(x - 3) + 3, x = ', & A. 6 18 B. 17 11 C D. - - 5 3 5 $20) The values of x for which log,x – 2logx = 1 is (are): * A. B. 3. 9 C 9 D.9 9 D. 9 3 3 21) If log, y = 3 and log, 9y = 5 then A. x= 3, y = 27 C.x = 3, y = – 27 %3D B. x = -3, y = -27 %3D D. x = -3, y = 27 %3D 22) Given that log x?y3 = a and log (-) = b, then log x = a+2b A. 3a+b D. a+3b 2a+b В. 5 23) if log10 2 = a then log35 = 1-a D. 3a 1-a 3--3a В. 1-a С. 2a A. a 24) Given that iog,6= m and log,5 = n the value of log: 10 is : A. m(n+ 1)- 1 B. m(n- 1) + C. m(n + 1) +1 D. m(n- 1)- ! 25) if: 4 log10 x - log16 y = log10 13, then A. 4x = 13y 26) if in x +2 = 2iny then xD B. 4* = 13y C. x*y = 13 D. x* = 13y A. D. B. C. 27)en 2x A. 4x B. 2x? C. 4x- D. n? 2x 28} The values of x which satisfy the equation 3%x - 10(3**1) + 34 = 0 is A.x = 2 or x = 3 B. x = 3or x = - 1 C.x = 1 or x = --3 D.x = 1orx = 3
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