﻿ Exponential and Logarithmic Functions Worksheet | Problems & Solutions

# Exponential and Logarithmic Functions Worksheet

Exponential and Logarithmic Functions Worksheet
• Page 1
1.
In ΔDEF, if $\angle$$E$ = 30°, $d$ = 21.4, and $f$ = 10.6, then Find $\angle$D to the nearest ten minutes?

 a. 35°30′ b. 5°25′ c. 54°30′ d. 53°44′

2.
In ΔPQR, if $\angle$Q = 70o, $p$ = 15, $q$ = 20, then find $\angle$R to the nearest degree.
 a. 65o b. can′t be determined c. 15o d. 70o

3.
In ΔABC, if $\angle$A = 52o, $a$ = 14 in., $b$ = 8 in., then find the length of $c$ to the nearest two significant digits.
 a. 17 in. b. 19 in. c. 14 in. d. 10 in.

4.
In ΔDEF, if $\angle$E = 34o20', $\angle$D = 68o30' and $f$ = 16.5 units, then find the length of $d$ to three significant digits.
 a. 16.5 units b. 17.3 units c. 15.7 units d. 15.2 units

5.
In ΔDEF, if $\angle$E = 35°, $\angle$D = 65°, and $f$ = 15 units, then find the length of $d$ to three significant digits.
 a. 15.287 units b. 16.500 units c. 17.345 units d. 13.799 units

6.
Find the domain of the function, $f$($x$) = log2 (8 - $x$).
 a. all real values greater 8 b. [- 8, 8] c. all real values less than - 8 d. all real values less than 8

7.
Which of the following is true for the given function, $f$ ($x$) = 28 - ln (28$x$ - 84)?
 a. Domain is ( - ∞, - 3) b. Domain is (- ∞, 3) c. Domain is (- 3, ∞) d. Domain is (3, ∞)

8.
Write the range of the function $f$ ($x$) = 26 log (17 - 26$x$).
 a. [- ∞, ∞) b. (- ∞, ∞] c. [- ∞, ∞] d. (- ∞, ∞)

9.
Write the domain of the function $f$ ($x$) = 30 log ($x$ - 28).
 a. [28, ∞) b. (28, ∞) c. (- ∞,28) d. (- 28, ∞)

Find the domain of the logarithmic function, $f$($x$) = log2 ($x$ + 11)2.