I. Find a number c such that In c =-7. 2. Find all numbers x such that ln(x2-3)

Question

I. Find a number c such that In c =-7. 2. Find all numbers x such that ln(x2-3) = 9. 3. Find all numbers x that satisfy the given equation. In(43) = 2 In(5x) 4. Estimate the indicated value without using a calculator. 1000 +5 1000 5. Estimate the indicated value without using a calculator 37 10,000 6. Estimate the indicated value without using a calculator. 10,000-3 10,000 In How much would an initial amount of $4,000, compounded continuously at 5% annual interest, become after 8 years? 7, 8, How much would you need to deposit in a bank account paying 4% annual interest compounded continuously so that at the end of 2 years you would have $10,000? A) $10,408.11 B) $9,231.16 C) $10,832.87 D) $9,607.89 9. Suppose that a bank account that compounds interest continuously grows from $200 to $290 in three years. What annual interest rate is the bank paying? Round your answer to one decimal place.

Explanation / Answer

1 . ln c=-7

c = e-7

2. ln(x2-3)=9

x2= e9+3

x=sqrt(e9+3)

3.ln(4x)/ln(5x)=2

ln 4x=2 ln(5x)

ln 4x = ln 25x2

4x =25x2

25x2-4x=0

x(25x-4)=0

x=0 , 4/25

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