1. Evaluate log381 + log,64 a. 5184 log 81 log 3 + 4 64 (6.) 7 c. 1 Af d. 145 = 71 2. Express logma + logmb as a single logarithm e. logm(ab) f. logm(a + b) g. logm²(ab) h. logm2(a + b) 3. Solve log 4x + log 5x - log 2 = 4 81 log log 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Evaluate log381 + log+64
a. 5184
b.) 7
c. 1
d. 145
= 11
2. Express logma + logmb as a single logarithm
e. logm(ab)
f. logm(a + b)
log 81
5. Solve (1/4)x+ 4 = √8
a. -5
b. 4.75
log
4
C. -4.75
d. -6.25
3
4. Solve log52x + 1/2log-9 = 2
a. 25/6
b. 2/6
c. 20.8
d. 3
g. logm²(ab)
h. logm2(a + b)
3. Solve log34x + log35x - log32 = 4
a. 8.1
b. 1.8
c. 5.a
d. 7.5
+ log 64
log 4
+
( 14 ) * + 4
58
(1/4) * + 4 = 84/2
(4-1)* + 4 = 8¹/2
4-X-4 = 81/2
X-4
(2²)-*-* = (2³)=
(2³) = 1/2
2-2x-8=2312
-2x -8 = 3/2
-2x = 3/2 +8
-2x = 3 + 16/2
- 2x = 19/2
x = 19/2 x 1/-2
X
x = - 19/4
x = -4.75
Transcribed Image Text:1. Evaluate log381 + log+64 a. 5184 b.) 7 c. 1 d. 145 = 11 2. Express logma + logmb as a single logarithm e. logm(ab) f. logm(a + b) log 81 5. Solve (1/4)x+ 4 = √8 a. -5 b. 4.75 log 4 C. -4.75 d. -6.25 3 4. Solve log52x + 1/2log-9 = 2 a. 25/6 b. 2/6 c. 20.8 d. 3 g. logm²(ab) h. logm2(a + b) 3. Solve log34x + log35x - log32 = 4 a. 8.1 b. 1.8 c. 5.a d. 7.5 + log 64 log 4 + ( 14 ) * + 4 58 (1/4) * + 4 = 84/2 (4-1)* + 4 = 8¹/2 4-X-4 = 81/2 X-4 (2²)-*-* = (2³)= (2³) = 1/2 2-2x-8=2312 -2x -8 = 3/2 -2x = 3/2 +8 -2x = 3 + 16/2 - 2x = 19/2 x = 19/2 x 1/-2 X x = - 19/4 x = -4.75
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