Solve the equation, calculus homework help

I need help to answer this q in precalculus for one hour and 30 min

---

Question 1 (4 points)

Solve the equation.

3 + 8 ln x = 10

Question 1 options:

	A)
	B)
	C) {e 7/8}
	D)

Save

Question 2 (4 points)

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

log₃

Question 2 options:

	A) log36 + log3x
	B) log3 + log3
	C) log36x
	D) log36 + log3x

Save

Question 3 (4 points)

Find the exact value of the logarithmic expression.

log₈1

Question 3 options:

	A) 1
	B) 0
	C)
	D) 8

Save

Question 4 (4 points)

Solve the equation.

ln = 2

Question 4 options:

	A) {e4 – 2}
	B) {e4 + 2}
	C)
	D) {e2 – 2}

Save

Question 5 (4 points)

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

log₆

Question 5 options:

	A) log6pq – log65
	B) log6p + log6q – log65
	C) log6p ∙ log6q ÷ log65
	D) log6p + log6q – log65

Save

Question 6 (4 points)

Find the amount that results from the investment.

$1,000 invested at 9% compounded annually after a period of 4 years

Question 6 options:

	A) $411.58
	B) $1538.62
	C) $1411.58
	D) $1295.03

Save

Question 7 (4 points)

Solve the equation.

log₂(x + 1) = 3

Question 7 options:

	A) {7}
	B) {9}
	C) {10}
	D) {8}

Save

Question 8 (4 points)

Solve the equation.

log₂(3x – 2) – log₂(x – 5) = 4

Question 8 options:

	A)
	B) {18}
	C) {6}
	D)

Save

Question 9 (4 points)

Solve the equation.

e ^{x + 6} = 8

Question 9 options:

	A) {ln 8 – 6}
	B) {e48}
	C) {e8 + 6}
	D) {ln 14}

Save

Question 10 (4 points)

Find the exact value of the logarithmic expression.

log₅ 125

Question 10 options:

	A) 5
	B) 15
	C) 125
	D) 3

Save

Question 11 (4 points)

Express as a single logarithm.

log_cx + log_cy

Question 11 options:

	A) logc(xy)
	B) logc
	C) logcxy
	D) logcx ∙ logcy

Save

Question 12 (4 points)

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

4^3/2 = 8

Question 12 options:

	A) log84 =
	B) = 4
	C) log48 =
	D) log34 =

Save

Question 13 (4 points)

Solve the equation.

log₂8 = x

Question 13 options:

	A) {4}
	B) {3}
	C) {16}
	D) {10}

Save

Question 14 (4 points)

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

log₉88.65

Question 14 options:

	A) 2.041
	B) 1.948
	C) 0.490
	D) 9.850

Save

Question 15 (4 points)

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

log₄

Question 15 options:

	A) log4(x + 6) -log4x
	B) log4(x + 6) + 3log4x
	C) log4(x + 6) – 3log4x
	D) 3log4x -log4(x + 6)

Save

Question 16 (4 points)

Solve the equation.

log (3x) = log 4 + log (x – 3)

Question 16 options:

	A) {- 12}
	B)
	C) {12}
	D)

Save

Question 17 (4 points)

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

log₇49 = x

Question 17 options:

	A) x7 = 49
	B) 497 = x
	C) 7x = 49
	D) 49x = 7

Save

Question 18 (4 points)

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

log₅

Question 18 options:

	A) log5
	B) 6log5y – 5log5x
	C) 5log5x + 6log5y
	D) 5log5x – 6log5y

Save

Question 19 (4 points)

Find the exact value of the logarithmic expression.

ln l

Question 19 options:

	A) 1
	B) e
	C) 0
	D) -1

Save

Question 20 (4 points)

Find the amount that results from the investment.

$12,000 invested at 10% compounded quarterly after a period of 6 years

Question 20 options:

	A) $21,175.33
	B) $9704.71
	C) $21,704.71
	D) $21,258.73