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Write the exponential equation in logarithmic form. 1) 5^3 = 125

Question : Write the exponential equation in logarithmic form. 1) 5^3 = 125 : 2151541

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write the exponential equation in logarithmic form.

1) 53 = 125

A) log5125 = 3

B) log53 = 125

C) log3125 = 5

D) log1255 = 3

2) 43 = 64

A) log464 = 3

B) log43 = 64

C) log644 = 3

D) log364 = 4

3) 2-3 = (1/8)

A) log2(-3) = (1/8)

B) log1/82 = -3

C) log2(1/8) = -3

D) log-3(1/8) = 2

4)((3/7))-2 = (49/9)

A) log3/7(49/9) = -2

B) log3/7(-2) = (49/9)

C) log49/9(3/7) = -2

D) log49/9(-2) = (3/7)

Write the logarithmic equation in exponential form.

5) log4(1/16) = -2

A) 4-2 = (1/16)

B) ((1/16))2 = 4

C) 24 = (1/16)

D) 416 = 2

6) log416 = 2

A) 162 = 4

B) 24 = 16

C) 416 = 2

D) 42 = 16

7) log0.001 = -3

A) 10-3 = 0.001

B) 100.001 = -3

C) -310 = 0.001

D) 0.001-3 = 10

8) log232 = 5

A) 25 = 5

B) 25 = 32 + 1

C) 25 = (1/32)

D) 25 = 32

9) log100,000 = 5

A) 105 = 100,000

B) 105 = 1,000,000

C) 105 = (1/100,000)

D) 105 = 5

10) lnx = 2

A)x2 = e

B) ex = 2

C) e2 =x

D) 2e =x

11) ln(1/e5) = -5

A) ((1/e5))e = -5

B) -5e = (1/e5)

C) e-5 = (1/e5)

D) ((1/e5))-5 = e

12) lne5 = 5

A) e5 = e5

B) ln5 = 5

C) e5 = 5

D) lne5 = e5

13) lne1/6 = (1/6)

A) e1/6 = (1/6)

B) e1/6 = e1/6

C) ln(1/6) = e1/6

D) e6 = e1/6

Evaluate the logarithm without using a calculator.

14) log981

A) 9

B) 81

C) 2

D) 18

15) log2(1/2)

A) -1

B) 0

C) 1

D) 2

16) log8(1/64)

A) 2

B) 8

C) -8

D) -2

17) log1010

A) -1

B) 1

C) 10

D) 0

18) log9(1/729)

A) 81

B) -81

C) 3

D) -3

19) log832

A) (4/3)

B) (3/2)

C) (5/4)

D) (5/3)

20) lne

A) e

B) 0

C) -1

D) 1

21) lnl

A) 1

B) e

C) -1

D) 0

22) log8((5)√(1/64))

A) (2/5)

B) (5/2)

C) -(5/2)

D) -(2/5)

23) lne3/5

A) (3/5)

B) (3/5)e

C) (5/3)

D) (5/3)e

Rewrite the expression as a sum, difference, or product of simpler logarithms.

24) log48x

A) log28 + log2x

B) log48 - log4x

C) log48 + log4x

D) log28 - log2x

25) log8xy

A) log8x - log8y

B) log4x + log4y

C) log8x + log8y

D) log4x - log4y

26) log8(8/11)

A) log88 - log811

B) log811 - log88

C) log48 - log411

D) log88 + log811

27) log6(√(7)/6)

A) ((1/2))log67 - log66

B) ((1/2))log67 + log66

C) log66 -((1/2))log67

D) ((1/2))log37 - log36

28) log5(2p/5k)

A) (log52log5p/log5k)

B) (log52 + log5p/1 + log5k)

C) log52 + log5p - 1 - log5k

D) log52p - log55k

29) log8(9(5)√(5)/(3)√(11))

A) (log89 + 5log85/3log811)

B) (log89 + (1/5)log85/(1/3)log811)

C) log89 + (1/5)log85 - (1/3)log811

D) log89 + 5log85 - 3log811

Solution
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Calculus 3 Months Ago 34 Views
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