Answer Key 11.4
- aa
1−2n=1−3n−1+3n−1+3nn=01−2n=1−3n−1+3n−1+3nn=0 - aa
42x=4−22x2=−22x=−142x=4−22x2=−22x=−1 - aa
42a=402a=0a=042a=402a=0a=0 - aa
(42)−3p=(43)3p4−6p=49p−6p=+9p+6p+6p0=15pp=0(42)−3p=(43)3p4−6p=49p−6p=+9p+6p+6p0=15pp=0 - aa
(5−2)−k=(53)−2k−252k=5−6k−62k=−6k−6+6k+6k8k=−6k=−68⇒−34(5−2)−k=(53)−2k−252k=5−6k−62k=−6k−6+6k+6k8k=−6k=−68⇒−34 - aa
(5)4(−n−2)=(5)−35−4n−8=5−3−4n−8=−34n+8=−3−8−84n=−5n=−54(5)4(−n−2)=(5)−35−4n−8=5−3−4n−8=−34n+8=−3−8−84n=−5n=−54 - aa
62m+1=6−22m+1=−2−1−12m=−3m=−3262m+1=6−22m+1=−2−1−12m=−3m=−32 - aa
2r−3=−r−3−r+3−r+3r=02r−3=−r−3−r+3−r+3r=0 - aa
6−3x=62∴−3x=2x=−236−3x=62∴−3x=2x=−23 - aa
2n=−n+n+n3n=0n=02n=−n+n+n3n=0n=0 - aa
(26)b=256b=5b=56(26)b=256b=5b=56 - aa
(63)−3v=(62)3v6−9v=66v−9v=6v+9v+9v0=15vv=0(63)−3v=(62)3v6−9v=66v−9v=6v+9v+9v0=15vv=0 - aa
(4−1)x=424−x=42∴−x=2x=−2(4−1)x=424−x=42∴−x=2x=−2 - aa
(33)−2n−1=323−6n−3=32−6n−3=2+3=+3−6n=5n=−56(33)−2n−1=323−6n−3=32−6n−3=2+3=+3−6n=5n=−56 - aa
∴3a=3a=1∴3a=3a=1 - aa
4−3v=43∴−3v=3v=−14−3v=43∴−3v=3v=−1 - aa
(62)3x=−(63)2x+166x=−66x+3∴6x=−6x+3−6x−6x0=3⇒no solution(62)3x=−(63)2x+166x=−66x+3∴6x=−6x+3−6x−6x0=3⇒no solution - aa
(43)x+2=4243x+6=42∴3x+6=−2−6−63x=−4x=−43(43)x+2=4243x+6=42∴3x+6=−2−6−63x=−4x=−43 - a
(32)2n+3=3534n+6=35∴4n+6=−5−6−64n=−1n=−14 - a
(42)2k=4−344k=4−3∴4k=−3k=−34 - a
3x−2=−3x+1−3x+2−3x+20=−3⇒no solution - a
(25)p=(32)−3p∴5p=−6p+6p+6p11p=0p=0 - a
−2x=3x=−32 - a
2n=2−3n+3n2+3n5n=2n=25 - a
m+2=−m+m−2=+m−22m=−2m=−1 - a
(54)2x=5258x=52∴8x=2x=14 - a
(6−2)b−1=636−2b+2=63∴−2b+2=−3−2−2−2b=−1b=−12 - a
(63)2n=6266n=62∴6n=2n=13 - a
2−2x=−2−2−2x=−2−2x=0x=0 - a
(2−2)3v−2=−(26)1−v2−6v+4=−26−6v∴−6v+4=−6−6v+6v−4−4+6v0=−2⇒No solution
