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Log Equations Review

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Log Equations Review OBJ: Review for Quest 2 Solve 1.162 s 2 = 24(2 s 2) = 2-1 4(2 s2) = -1 8 4s2 = -1 9 4s2 = 0 (3 2s)(3 + 2s) = 0 s ... – PowerPoint PPT presentation

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Title: Log Equations Review


1
Log Equations Review
  • OBJ Review for Quest 2

2
Solve
  • 1.162 s 2 ½
  • 24(2 s 2) 2-1
  • 4(2 s2) -1
  • 8 4s2 -1
  • 9 4s2 0
  • (3 2s)(3 2s) 0
  • s ? ?
  • 2.64x 4 (½)2x
  • 26(x 4 ) (2-1)2x
  • 6(x 4) (-1)2x
  • 6x 24 -2x
  • 8x 24
  • x 3

3
Solve
  • 3.(?)2x 64
  • 27
  • (?)2x (?)-3
  • 2x -3
  • x - ?
  • 4.63x 5 1
  • 60 1
  • 3x 5 0
  • x -5
  • 3

4
Solve
  • 5.log5125 x
  • 5x 125
  • 5x 53
  • x 3
  • 6.log?2 t 6
  • ?26 t
  • (2½)6 t
  • 23 t
  • 8 t

5
Solve
  • 7.log2x3 6
  • 26 x3
  • (26)? (x3)?
  • 22 x
  • 4 x
  • 8.log24 log26 log2x
  • log224 log2x
  • 24 x

6
Solve
  • 9log310-log35log3x
  • log310 log3x
  • 5
  • log32 log3x
  • 2 x
  • 10log4(5x 1) 3
  • 43 5x 1
  • 64 5x 1
  • 65 5x
  • 13 x

7
Solve
  • 11.log(x2 21x) 2
  • (base 10)
  • 102 x2 21x
  • 100 x2 21x
  • 0 x2 21x 100
  • 0 (x 25)(x 4)
  • x 4, -25
  • 12.2log3(t2 3t 5)
  • 32 t2 3t 5
  • 9 t2 3t 5
  • 0 t2 3t 4
  • 0 (t 4)(t 1)
  • t 4, -1

8
Solve
  • 132log23log2(x 1)3
  • log2( 32 ) 3
  • x1
  • 23 ( 32 )
  • x1
  • 8 9_
  • x1
  • 8x 8 9
  • 8x 1 x ?
  • 14.log(x5) log(3x)
  • log(x1)
  • log(x5) log(x1)
  • 3x
  • x 5 x 1
  • 3x
  • 3x2 3x x 5
  • 3x2 2x 5 0
  • (3x 5)(x 1) 0 x1

9
Solve
  • 15.log(n4) 1log(2n)
  • log(n4) log(2n)1
  • log10(n4)(2n) 1
  • 101 (n 4)(2n)
  • 2n2 8n 10 0
  • 2(n2 4n 5) 0
  • 2(n 5)(n 1) 0
  • n 1
  • 16.ln is the same as loge
  • ln(x 1) ln x ln2
  • ln x 1 ln2
  • x
  • x 1 2
  • x
  • 2x x 1
  • x 1

10
Solve. Round answers to 3 dec. places
  • 17.2x 5
  • log2x log5
  • x log2 log5
  • x log5
  • log2
  • x log(5)/log(2)
  • x 2.322
  • 18.35 x 100
  • log35 x log100
  • (5 x)log3 log100
  • 5log3-xlog3log100
  • 5log3-log100 xlog3
  • (5log(3)-log(100))
  • /log(3)
  • x .808

11
Solve. Round answers to 3 dec. places
  • 19.log2x 1 log31 x
  • (x 1)log2 (1 x)log3
  • xlog21log21log3-xlog3
  • xlog2xlog3 log3log2
  • x(log2log3) log3log2
  • log3 log2 x
  • log2 log3
  • (log(3) log(2))/(log(2) log(3)) x
  • .226 x

12
Solve. Round answers to 3 dec. places
  • 20.ex 4
  • log ex log 4
  • x log e log 4
  • x log 4
  • log e
  • x 1.386
  • 20.ex 4
  • ln ex ln4
  • x ln e ln4
  • x ln4
  • x 1.386

13
Solve. Round answers to 3 dec. places
  • 21.3e2x 1 12
  • e2x 1 4
  • log e2x 1 log 4
  • (2x 1) log e log4
  • 2xlog e-log e log4
  • x log e log 4
  • 2 log e
  • 1.193
  • 21.3e2x 1 12
  • e2x 1 4
  • ln e2x 1 ln4
  • 2x 1 ln4
  • 2x 1 ln4
  • x 1 ln4
  • 2
  • 1.193

14
Solve. Round answers to 3 dec. places
  • 21.3e2x 1 12
  • e2x 1 4
  • ln e2x 1 ln4
  • 2x 1 ln4
  • 2x 1 ln4
  • x 1 ln4
  • 2
  • 1.193
  • 22.72x 1 11
  • log72x 1 log 11
  • (2x 1)log7 log11
  • 2xlog7log7log11
  • 2xlog7log11log7
  • x log11 log7
  • 2log7
  • x

15
Solve. Round answers to 3 dec. places
  • 23.log 5 x 3 log 3 2 x
  • (x 3)log5(2 x)log3
  • xlog53log52log3xlog3
  • xlog5xlog32log33log5
  • x(log5log3)2log33log5
  • 2log3 3log5 x
  • log5 log 3
  • -.972 x
  • 24.log2s 1.3
  • 21.3 s
  • 2.462 s
  • To do it on the calculator,
  • type 2 ?1.3
  • The ? key is above the
  • ? key

16
Solve. Round answers to 3 dec. places
  • 25.log812 x
  • 8x 12
  • xlog8 log12
  • x log12
  • log8
  • x log(12)/log(8)
  • x 1.195
  • 26.log53.6 x
  • 5x 3.6
  • xlog5 log3.6
  • x log3.6
  • log5
  • x log(3.6)/log(5)
  • x .796

17
Solve. Round answers to 3 dec. places
  • 27.log1.2?6 x
  • 1.2x ?6
  • xlog1.2 log?6
  • x log?6
  • log1.2
  • x 4.914
  • 28.log??27 x
  • ?x ?27
  • 3-x 3?
  • x -?
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