I need help to answer this q in precalculus

 

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QUESTION 1 (4 POINTS)

Write as the sum and/or difference of logarithms. Express powers as factors.

log4

Question 1 options:

	A) log4x - 2
	  B) - 2log4x
	  C) 8 -  log4x
	  D) log4x - 2

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QUESTION 2 (4 POINTS)

Solve the equation.

log5(x + 1) = 1 + log5(x - 1)

Question 2 options:

	A)
	  B)
	  C)
	  D)

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QUESTION 3 (4 POINTS)

Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.

log2150.6

Question 3 options:

	A) 3.617
	  B) 0.301
	  C) 7.235
	  D) 0.138

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QUESTION 4 (4 POINTS)

Change the logarithmic expression to an equivalent expression involving an exponent.

ln x = 6

Question 4 options:

	A) 6e = x
	  B) x6 = e
	  C) ex = 6
	  D) e6 = x

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QUESTION 5 (4 POINTS)

Find the exact value of the logarithmic expression.

ln e7

Question 5 options:

	A) e
	  B)
	  C) 1
	  D) 7

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QUESTION 6 (4 POINTS)

Solve the equation.

log2x = 5

Question 6 options:

	A) {10}
	  B) {2.32}
	  C) {25}
	  D) {32}

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QUESTION 7 (4 POINTS)

Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.

log60.771

Question 7 options:

	A) -0.113
	  B) 7.782
	  C) -0.145
	  D) -6.890

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QUESTION 8 (4 POINTS)

Solve the equation.

log6(x + 3) = 3

Question 8 options:

	A) {219}
	  B) {213}
	  C) {732}
	  D) {726}

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QUESTION 9 (4 POINTS)

Solve the problem.

pH = -log10[H+] Find the [H+] if the pH = 6.4.

Question 9 options:

	A) 3.98 × 10-6
	  B) 2.51 × 10-7
	  C) 3.98 × 10-7
	  D) 2.51 × 10-6

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QUESTION 10 (4 POINTS)

Find the exact value of the logarithmic expression.

log4 

Question 10 options:

	A) -3
	  B) 3
	  C)
	  D) -Â

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QUESTION 11 (4 POINTS)

Change the logarithmic expression to an equivalent expression involving an exponent.

logb25 = 2

Question 11 options:

	A) 2b = 25
	  B) 252 = b
	  C) 25b = 2
	  D) b2 = 25

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QUESTION 12 (4 POINTS)

Solve the equation.

e2x = 7

Question 12 options:

	A) {2 ln 7}
	  B)
	  C)
	  D)

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QUESTION 13 (4 POINTS)

Change the exponential expression to an equivalent expression involving a logarithm.

73 = 343

Question 13 options:

	A) log7343 = 3
	  B) log3343 = 7
	  C) log3437 = 3
	  D) log73 = 343

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QUESTION 14 (4 POINTS)

Solve the equation.

log6(x + 2) = -1

Question 14 options:

	A)
	  B)
	  C)
	  D)

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QUESTION 15 (4 POINTS)

Find the exact value of the logarithmic expression.

log9

Question 15 options:

	A)
	  B) 1
	  C) 9
	  D)

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QUESTION 16 (4 POINTS)

Solve the problem.

The pH of a chemical solution is given by the formula 
pH = -log10[H+] 
where [H+] is the concentration of hydrogen ions in moles per liter. 
Find the pH if the [H+] = 5.2 × 10-4.

Question 16 options:

	A) 4.72
	  B) 3.72
	  C) 4.28
	  D) 3.28

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QUESTION 17 (4 POINTS)

Express as a single logarithm.

6logbq - logbr

Question 17 options:

	A) logb
	  B) logb(q6 - r)
	  C) logbq6 ÷ logbr
	  D) logb

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QUESTION 18 (4 POINTS)

Change the exponential expression to an equivalent expression involving a logarithm.

10x = 1000

Question 18 options:

	A) log100010 = x
	  B) logx1000 = 10
	  C) log101000 = x
	  D) log1000x = 10

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QUESTION 19 (4 POINTS)

Write as the sum and/or difference of logarithms. Express powers as factors.

log5

Question 19 options:

	A) log514 +  log5x - log5y
	  B) log514 ∙  log5m ÷ log5y
	  C) log5y - log514 -  log5x
	  D) log5(14) - log5y

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QUESTION 20 (4 POINTS)

Solve the equation.

3(1 + 2x) = 243

Question 20 options:

	A) {2}
	  B) {81}
	  C) {6}
	  D) {-2}

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