8º Semana

  1.-5^x=.17

x log 5=log .17

x= log .17 / log 5

x =-.7695/ .6989

x=-1.1010

2.- .18 ^x=3.16

x log .18 = log 3.16

x= log 3.16 / log .18

x= .4996/-.7447

x= - .6708

3.-2.5 ^2x=4

(2x) log 2.5 = log 4

2x= log 4/ log 2.5

2x= .6020/.3979

2x=1.5129/2

x=.75645

4.-9 ^x=8

x log 9 = log 8

x= log 8 / log 9

x= .9030 / .9542

x= .9463

5.-1.5^{5 x}=5.5

(5x) log 1.5 = log 5.5

5x=  log 5.5 / log 1.5

5x= .7403/.1760

5x=4.2062

x=4.2062/5

x=.84125

6.-3^{3 x}=9

3x log 3 = log 9

3x =  log 9 / log 3

3x = .9542 / .4771 =2

x= 2/3 .6666

7.-3^2x+5=5

(2x+5) log 3 = log 5

2x+5 = log 5 / log 3

2x+5.6989/.4771

2x+5=1.4648

2x=1.4648 – 5

x= -3.5351 /2

x= -1.5351

8.-2.5^2x-2=10

(2x-2) log 2.5 = log 10

2x-2 = log 10 / log 2.5

2x2= 1 / .3979

2x-2=2.5131 +2

x=4.5131/2

x=2.2565

9.-9^5x-3=6

(5x^-3) log 9 = log 6

5x ^-3 = log 6 /  log 9

5x^-3= .7781/.9542

5x^-3=.8154

5x=.8154 + 3

x= 3.8154 / 5

x= .7630

10.-3.5^3x-1=2.5

(3x-1) log 3.5 = log 2.5

3x^-1= log 2.5 / log 3.5

3x^-1 =.3979/.5440

3x^-1=.7314+1

x=1.7314/3

x=.5771

11.-3^x=20

x log 3= log 20

x= log 20/ log 3

x=1.3010/.4771

x=2.7268

12.-2^5x=.97

5x= log 2 = log .97

5x= log 2 / log .97

5x= .3010 / -.0132

x=-22.8030 /5

x=-4.5606

13.-3.5^7x-1/.87

(7x^-1) 3.5 log = .87 log

7x^-1  = log .87 / log 3.5

7x-1 = -.0604/.5440

7x=-.1110 +1

x= .8889 /7

x= .1269

14.-.97^2x=.56

(2x) log .97 = log .56

2x log .56 / log .97

2x=-.2518 / -.0132

2x= 19.0757

x= 19.0757 / 2

x= 9.5378

15.-2^3x=.89

(3x) log 2 = log.82

3x = .82 log / 2 log

3x -.0861/.3010

3x= -2.6780

x= -2.6780/ 3

x=-.8926

1.-2^7x+1=7

(7x+1) 2 log =7 log

7x+1 log 7 / log 2

7x+1 .8450/.3010

7x=2.8073 -1

x=1.8073/7

x=.2581

2.-2^.7x=.7

(.7x) log 2 = log .7

.7 = log .7 / log 2

.7=  -.1549/.3010

.7=-.5146

-.5146/.7

x= -.7361

3.-.2^2x=.5

(2x) log .2 = log .5

2x= log .5 / log .2

2x=-.3010/-.6989

x=.4306/2

x=.2153

4.-3.5^x=3.6

x= log 3.5 = log 3.6

x= log 3.6 / log 3.5

x= .5563 / .5440

x=1.0226

5.-3^2x=10.5

2x log 3= log 10.5

2x= log 10.5 / log 3

2x= 1.0211/.4771

x= 2.1402/2

x=1.0701

6.-9^7x-10=1

(7x-10) log 9 = log 1

7x-10 log 1 / log 9

7x-10 = 0/.9542

7x=0+10

x=10/7

x=1.4285

7.-4.6^x=35

x log 9.6 = log 35

x= log 35 / log 4.6

x=1.5440/.6627

x=2.3298

8.-5^3x=.58

3x log 5 = log.58

3x= log .58/ log 5

3x=-.2365/.6989

x=-.3383/3

x= -.1127

9.-2.3^5x-1=.9

(5x^-1) 2.3 log=.9 log

5x^-1 log.9 / log 2.3

5x^-1 =-.0457/.3617

5x=-.1263 + 1

x= .8935/5

x=.1747

10.-2^x=27

x log 2 = log 27

x= log 27/ log 2

x= 1.4313/ .3010

x=4.7551

1)      .8^x=2.2

x  log .8 = log 2.2

x= log 2.2/ log.8

x= .3424/-.0969

x=-3.5335

2)      .17^x=.7

x  log .17 = log .7

x= log.7/ log.17

x/-.1549/-.7695

x=2012

3)      (3/2)^x=3/2

x log 3/2 = log 3/2

x= log 3/2 / log 3/2

x=.1760/.1760

x=1

4)      .56^x=.97

x  log .56 = log.97

x= log .97/ log.56

x=-0.0132/-.2518

x=.0524

5)      .8^x=2.3

x  log .8 = log 2.3

x= log 2.3 / log .8

x=.3617/-.0969

x=-3.7327

6)      .25 ^3/2x=.5

(3/2x) log .25= log.5

3/2x= log .5 /.25

3/2x=-.3010/-.6020

x=.5/3/2

x=.3333

7)      3.6 ^1.7x=.8

1.7x = log 3.6 = log.8

1.7x= log.8/ log3.6

1.7x=-.0969/.5563

x=-.1741/1.7

x=-.1024

8)      1.5^3x=2.5

(3x) log 1.5= log2.5

3x= log2.5/ log1.5

3x=.3979/.1760

x/2.2607/3

x=.7535

9)      2.3 ^5/2=5

(5/2x) log 2.3 = log 5

5/2 = log 5 / log 2.3

5/2=.6989/.3617

x=1.9322/5.2

x=.7729

10)   2^2/3x=4/5

(2/3) log 2 = log 4/5

2/3= log4/3/ log2

2/3=-.0969.3010

x=-.3219/2/3

x=-.4828

11)   7^x+6=5

(x+6) log 7 = log 5

x+6= log5/ log7

x+6=.6989/.8450

x=.8271+6

x=6.8271

12)   28^2x-7=3

(2x-7) log 8 = log3

(2x-7) log 3 / log 8

(2x-7).4771/.9030

2x=.5283+7

x=7.5283/2

x=3.7641

13)   4^3x-5=2

(3x-5) log4= log2

(3x-5)= log2/ log4

3x-5=.3010/.6020

3x=.5+5

x=5.5/3

x=1.8333

14)   3^1/2x-2=.75

(1/2 x-2) log3= log7.5

(1/2x-2) log.75/ log3

1/2x-2=-.1249/.4771

1/2x=-.2617+2

x=1.7382/1/2

x=3.4764

15)   9^{3/2 + ½}=1.5

(3/2x1/2) log9= log1.5

3/2x1/2= log1.5/ log9

3/2x1/2=1.1760/.9542

3/2x=1.2324+1/2

x=1.7324

x=1.1549

1)      4^3x+7-2x=36

(x+7) log 4 = log 36

x+7(log 367 log4

x+7=1.5563/.6020

x=2.5852-7

x=-4.4147/1

x=-4.4147

2)      3^2/3x=4

(2/3) log3 = log 4

(2/3x) log 4 = log 3

2/3x0.6020/.4771

x=1.2617/3/2

x=.8411

3)      2^7x-3-2x+6=10

(5x+3) log 2_= log

5x+3 = log 10 / log 2

5x+3=1/.3010

5x=3.3222 – 3

x=.3222/5

x=.6044

4)      5.7^2/3-7

(2/3x7) log 5.7 = log .67

2/3-7= log.67/ log5.7

2/3-7=-.1739/.7558

5)      2.3^.5x-2=.7

(.5x-2) log 2.3 = .7

.5x-2= log.7/ log2

.5x-2=-.1549/.3010

.5x=-.1546+2

x=1.4853/.5

x=2.9707

6)      3.7^2x-3+7x-1=2

(9x-4) log 3.7 = log 2

(9x-4) = log2/ log3.7

(9x-4)=.3010/.5682

9x=.5297+4

x=4.5297+9

x=.5033

7)      2.5^{1/2 x}=9

(1/2x) log 2.5= log9

1/2x)= log .9 /2.5

(1/2)=-.0457/.3979

x=-.1148/1/2

x-.2297

8)      3.2 ^7x-3=19

(7x-3) log 3.2 = log 19

(7x-3)=log19/log3.2

(7x-3)=1.2787/.5051

7x=.5517/3

x=3.5517/7

x=.5073

9)      4^3x-7=2.4

(3x-7) log 4 = log 2.4

(3x-7) = log 2.4 / log 4

(3x-7) =.3802/.6020

3x=.6315+7

x=7.6315/3

x=2.5438

10)   1.5^6x-3=4.7

(6x-3) log 1.5 = log 4.7

(6x-3)= log4.7/log1.5

(6x-3)=.6720/.1760

6x=3.8181+3

x=6.8181/6

x=1.1363