### Course History

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## PDC106279 - Logarithms and Exponential Equations

Course Details

#### Course Summary

Mathematics is used to solve many types of problems. This online micro-credential will review exponents, introduce logarithms, and use logarithmic and exponential functions to solve application problems.

Students who successfully complete the set of 9 micro-credentials* developed from the unit MATH40228, Intermediate Mathematics for University, (which forms part of the Skills for Tertiary Education Preparatory Studies (STEPS) CL03), may be eligible for credit transfer, pending all other entry requirements to the Skills for Tertiary Education Preparatory Studies (STEPS) CL03 are being met, as automatic entry will not apply.

*Includes the following micro-credentials:

1. PDC106144 Linear Equations and Inequalities
3. PDC106279 Logarithms and Exponential Equations
4. PDC106280 Introduction to Geometry and Trigonometry
5. PDC106281 Ratio, Proportion, and Variation
6. PDC106282 Sequences and Series
7. PDC106283 Statistics
8. PDC106284 Intermediate Mathematics - Elective Module
9. PDC87417 Intermediate Mathematics - Concepts and Skills: Assessment Module.

This online micro-credential provides a creditable micro-credential and digital badge which can be shared to your social networks and displayed in your professional portfolio.

Our micro-credentials are aligned to the United Nations Sustainable Development Goals.

#### Entry Requirements

There are no specific entry requirements; however, it is recommended to complete these micro-credentials before enrolling in this micro-credential.

• PDC85417: Fractions, Decimals and Percentages
• PDC85436: Algebraic Expressions and Linear Equations
• PDC85438: Introduction to Exponents, Statistics and Units
• PDC106144: Linear Equations and Inequalities

#### Course Details

 Domestic StudentsTertiary Admission Centre Codes (TAC) Codes Not Applicable Not Applicable

#### Student Outcomes, Career Opportunities and Occupations

Undertaking this micro-credential provides students with information, skills and strategies to help them succeed in higher education. These skills are transferable to contexts beyond study. Upon successful completion of the micro-credential, students will be awarded Continuing Professional Development (CPD) hours, a creditable micro-credential (Digital Badge) and a Certificate of Completion.

Students who successfully complete the set of nine micro-credentials* developed from the unit MATH40228 Intermediate Mathematics for University, (which forms part of the Skills for Tertiary Education Preparatory Studies (STEPS) CL03), may be eligible for credit transfer, pending all other entry requirements to the Skills for Tertiary Education Preparatory Studies (STEPS) CL03 are being met, as automatic entry will not apply.

*Includes the following micro-credentials:

1. PDC106144 Linear Equations and Inequalities
3. PDC106279 Logarithms and Exponential Equations
4. PDC106280 Introduction to Geometry and Trigonometry
5. PDC106281 Ratio, Proportion, and Variation
6. PDC106282 Sequences and Series
7. PDC106283 Statistics
8. PDC106284 Intermediate Mathematics - Elective Module
9. PDC87417 Intermediate Mathematics - Concepts and Skills: Assessment Module.

Course Structures

Study Mode Definitions

• Online: Online courses provide the flexibility to study without normally requiring a student to visit a campus. Course content is studied through a number of means including the use of online discussion forums, electronic library resources, by contacting lecturers and teachers, and receiving study materials online/electronically. Work integrated learning, including placements, may be included in some courses.
• On-campus: Students studying in on-campus mode typically are expected to attend and participate in regular, structured on-campus teaching and learning activities throughout the University’s academic term. These activities may include lectures, tutorials, workshops and practice, online or other activities and normally will be timetabled at a CQUniversity campus or approved delivery site.
• Mixed Mode: Students studying in mixed mode will participate in a combination of online learning activities in addition to site-specific learning activities, which may include residential schools, co-op placements and/or work-integrated learning as a compulsory requirement of a unit. The additional site-specific learning activities are what differentiates a mixed-mode unit from an online unit.

*All study modes may include Vocational placement and/or work integrated learning.

Select a course structure below to view the delivery details, including the different study modes offered for each structure.

Micro-credential

20 hours online self-paced learning.

Students can access the micro-credential for one year from enrolment.

• Online
No units are associated with this course

Course Learning Outcomes
1. Use exponential (index) notation and laws to simplify expressions
2. Use the definition of logarithms to convert between exponential and logarithmic forms of expressions
3. Evaluate expressions containing logarithms
4. Simplify logarithmic expressions using identities and properties of logarithms
5. Solve logarithmic equations
6. Use logarithmic functions to solve application problems.

Assessment