Insights By Scott Ernst

Project Autodidact

Project Details: https://insightsbyse.com/projectautodidact/

Scott Ernst Bio: https://insightsbyse.com/aboutscotternst/

Project Contact: InsightsBySE@protonmail.com

Progress Report Scope (S01-M01-D04-AllParts)

Stage 1 of 4: Review of Mathematics, Probability, and Statistics

Module 1 of 3: Foundations of Arithmetic and Algebra

Day 4 of 5: Exponents and Logarithms

Parts 1 through 10: See below

Summary Of Goals Achieved

1. Reviewed definition, notation, terminology, components, and properties of exponents (product of powers, quotient of powers, power of a power, power of a product, power of a quotient, zero exponent, negative exponent, and fractional exponent)
2. Reviewed procedures for simplification of exponents
3. Reviewed methods for solving exponential equations (common bases method, logarithm conversion method, substitution method, graphical method, and numerical methods)
4. Reviewed logarithm notation
5. Reviewed definition, notation, terminology, components, and properties of logarithms (product rule, quotient rule, power rule, log of 1 (aka zero rule), log of the base (aka identity rule), inverse property, change of base rule, equality rule, and reciprocal rule)
6. Reviewed procedures for solving logarithmic equations
7. Reviewed procedures for solving logarithmic inequalities
8. Reviewed procedures for evaluating logarithmic functions
9. Reviewed definition, notation, terminology, components, properties, and applicability of exponential growth equation
10. Reviewed definition, notation, terminology, components, properties, and applicability of exponential decay equation
11. Reviewed procedures for logarithmic transformation to compress large values and expand small values, including procedures for choice of logarithm base
12. Reviewed procedures for conversion between exponential and logarithmic form
13. Reviewed definition, notation, terminology, components, and properties of scientific notation, including significant figures
14. Reviewed rules for mathematical operations with scientific notation
15. Reviewed procedures for a creating a logarithmic scale, logarithmic axes, and plotting points on a graph

Part 1 of 10

Goal 1 Statement: Review definition, notation, terminology, components, and properties of exponents (product of powers, quotient of powers, power of a power, power of a product, power of a quotient, zero exponent, negative exponent, and fractional exponent)

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 2 of 10

Goal 1 Statement: Review procedures for simplification of exponents

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 3 of 10

Goal 1 Statement: Review methods for solving exponential equations (common bases method, logarithm conversion method, substitution method, graphical method, and numerical methods)

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 4 of 10

Goal 1 Statement: Review logarithm notation

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review definition, notation, terminology, components, and properties of logarithms (product rule, quotient rule, power rule, log of 1 (aka zero rule), log of the base (aka identity rule), inverse property, change of base rule, equality rule, and reciprocal rule)

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 5 of 10

Goal 1 Statement: Review procedures for solving logarithmic equations

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures for solving logarithmic inequalities

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Goal 3 Statement: Review procedures for evaluating logarithmic functions

Goal 3 Plan: Read source materials

Goal 3 Work Product: None

Goal 3 Result: Completed

Part 6 of 10

Goal 1 Statement: Review definition, notation, terminology, components, properties, and applicability of exponential growth equation

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review definition, notation, terminology, components, properties, and applicability of exponential decay equation

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 7 of 10

Goal 1 Statement: Review procedures for logarithmic transformation to compress large values and expand small values, including procedures for choice of logarithm base

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 8 of 10

Goal 1 Statement: Review procedures for conversion between exponential and logarithmic form

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 9 of 10

Goal 1 Statement: Review definition, notation, terminology, components, and properties of scientific notation, including significant figures

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review rules for mathematical operations with scientific notation

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 10 of 10

Goal 1 Statement: Review procedures for a creating a logarithmic scale, logarithmic axes, and plotting points on a graph

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed