9.2 Homework Problems: Natural Logarithms

1. Write as a logarithmic equation

a. e^y = 4

b. e^x = 27

c. e^4x = 16

d. 6e^-x = 8

2. Write as an exponential expression

a. ln(x+5) = 10

b. ln(3) = x

c. ln(x) = 1.54

d. ln(e) = 1

3. Evaluate using a calculator and round to the nearest ten-thousandth

a. ln (37.5)

b. ln (-14.9)

4. Solve for x (round to the nearest hundredth)

a. 6e^-x + 1 = 3

b. ln(x+5) = 7

c. ln(x) = 3

d. e^{(2x – 3)} = 7

e. ln (x) = -8.3

f. 0.2 ln (x) = 0.0079

g. 11^{(-x – 9)} = 6^-8x

h. 16^-7x = 5^(x+10)

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