Republic of the Philippines
Department of Education
Region I
SCHOOLS DIVISION OFFICE I PANGASINAN
ANDA NATIONAL HIGH SCHOOL
Sablig, Anda, Pangasinan
Activity Sheet in General Mathematics
Quarter 1 – Module 21 - 25: Logarithmic Functions
WEEK 7 - 8
FOR WEEK 7
Learning Competencies: After going through this module, you are
expected to:
1. Represents real-life situations using logarithm functions. M11GM-lh-
1
2. Distinguish logarithmic function, logarithmic equation, and
logarithmic inequality. M11GM-lh-2
3. Illustrates the laws of logarithms. M11GM-lh-3
4. Solve logarithmic equations and inequalities. M11GM-lh-i-1
5. Represents a logarithmic function through its: (a)table of values,
(b)graph, and (c)equation. M11GM-li-2
ACTIVITIES:
Answer the following. (Used your 7th Week Module)
- Do “Application” on page 3, activity A, B and C. (15 pts)
- Do “Application” on page 5, activity A. (10 pts)
- Do “Application” on page 7, activity A and B. (15 pts)
- Do “Application” on page 9, Solve the following problem 1-5. (10
pts)
- Sketch the graph. Do Application on page 10. (5 pts)
- Do the Posttest on page 11 – 12 (25 pts)
Take note: Read and study the following example illustrated to SLM
(Q1_M21-25_W7)
FOR WEEK 8
Learning Competencies: After going through this module, you are
expected to:
1. Finds a domain and range of a logarithmic function M11GM-Ii-3
2. Determines the intercepts, zeroes, asymptotes of logarithmic
functions M11GM-Ii-4
3. Graphs logarithmic functions M11GM-Ij-1
4. Solves problems involving logarithmic functions, equations and
inequalities, M11GM-Ij-2
A. For this logarithmic function y = 4 log 2 x-1 and y = log2 x, identify the
following:
a. Domain
b. Range
c. Intercepts
d. Zeroes
e. Asymptotes
f. Sketch of the graph in one Cartesian Coordinate Plane.
B. Solve the following problems.
1. What values of x satisfy the following inequality log2(log3(4x+1)) >
log2(log3(2x+3))?
2. Solve for x in the equation 4 + log3(7x) = 10
3. Using the world population formula P = 6.9(1.011) t, where t is the
number of years after 2010 and P is the world population in billions of
people, estimate:
a) the population in the year 2030 to the nearest hundred million, and
b) by what year will the population be double from 2010?
