Exponential And Logarithmic Functions Worksheet (Page 2 of 4) in pdf

Exponential And Logarithmic Functions Worksheet Page 2

Use properties of logarithms to condense the logarithmic

33) 2log x = log 25

expression. Write the expression as a single logarithm

whose coefficient is 1. Where possible, evaluate

logarithmic expressions.

19) log

(x + 2) - log

(x + 8)

20) 9log b y + 7log b z

Use common logarithms or natural logarithms and a

calculator to evaluate to four decimal places

21) log

63.7

Solve the equation by expressing each side as a power of

the same base and then equating exponents.

22) 2 (1 + 2x) = 8

23) 32 x = 8

24) 2 (5 - 3x) =

Solve the exponential equation. Express the solution set in

terms of natural logarithms.

25) e x + 6 = 8

Solve the exponential equation. Use a calculator to obtain

a decimal approximation, correct to two decimal places, for

the solution.

26) 7 x = 6 x + 7

Solve the logarithmic equation. Be sure to reject any value

that is not in the domain of the original logarithmic

expressions. Give the exact answer.

27) log

(x + 2) + log

(x - 4) = 2

28) ln

x + 2 = 2

29) log

x = 5

30) log

(x - 2) = -3

x 2 = log

31) log

(6x + 7)

32) log 3x = log 5 + log (x - 4)

Exponential And Logarithmic Functions Worksheet Page 2