logarithms
'Video thumbnail for Convert Exponential and Logarithmic Expressions'
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14:53
Convert Exponential and Logarithmic Expressions
Convert Exponential and Logarithmic Expressions

8K views · Oct 19, 2022 analyzemath.com

This video has the following objectives: 1 - Define the log as the inverse of the exponential 2 - Discuss how to use the relationship between the exponential and logarithmic functions to convert an exponential expression into a logarithmic expression and vice versa 3 - Evaluate logarithmic expressions using the exponential function 4 - Define the common logarithm (log, base 10) and the natural logarithm (ln, base e) 5 - Solve simple exponential and logarithmic equations just by converting one into the other More on converting exponentials and logarithms at https://www.analyzemath.com/logfunction/logarithm_exponential.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1

'Video thumbnail for Simplify Logarithmic  Expressions'
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5:19
Simplify Logarithmic Expressions
Simplify Logarithmic Expressions

1K views · Oct 20, 2022 analyzemath.com

This video discusses the different ways to simplify logarithmic expressions using a combination of the rules of logarithms. The expressions simplified include the sum and difference of logarithms and also logarithms multiplied with coefficients. More on rules of logarithms at https://www.analyzemath.com/logfunction/rules-of-logarithms-and-exponentials-questions-with-solutions.html More on logarithms at https://www.analyzemath.com/math_questions/math_questions_3.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1

'Video thumbnail for Convert Exponential and Logarithmic Expressions'
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14:53
Convert Exponential and Logarithmic Expressions
Convert Exponential and Logarithmic Expressions

8K views · Oct 19, 2022 analyzemath.com

This video has the following objectives: 1 - Define the log as the inverse of the exponential 2 - Discuss how to use the relationship between the exponential and logarithmic functions to convert an exponential expression into a logarithmic expression and vice versa 3 - Evaluate logarithmic expressions using the exponential function 4 - Define the common logarithm (log, base 10) and the natural logarithm (ln, base e) 5 - Solve simple exponential and logarithmic equations just by converting one into the other More on converting exponentials and logarithms at https://www.analyzemath.com/logfunction/logarithm_exponential.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1

'Video thumbnail for Solve the Logarithmic Equations  : ln(x^2+-2) - ln(x-1) = 2 Grade 12'
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6:42
Solve the Logarithmic Equations : ln(x^2+-2) - ln(x-1) = 2 ...
Solve the Logarithmic Equations : ln(x^2+-2) - ln(x-1) = 2 Grade 12

19K views · Oct 3, 2022 analyzemath.com

In this video, the equation (ln(x^2+-2) - ln(x-1) = 2) including logarithmic functions is solved including all detailed steps and the logarithmic rules used to transform the equation. First, the two logarithms on the left side are grouped using the formula: ln (A) - ln(B) = ln (A/B), and 2 on the right side is written as ln(e^2). With these, we have the form ln(W) = ln(V) hence W = V which is an algebraic equation. When the algebraic equation is solved, the solutions are checked because the domain of the function ln(x) requires that x must be positive. More grade 12 math practice at https://www.analyzemath.com/high_school_math/grade_12/grade-12-practice.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com More grade 11 math practice at https://www.analyzemath.com/high_school_math/grade_11/grade-11-practice.html Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1

'Video thumbnail for Can You Solve This Equations?'
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5:27
Can You Solve This Equations?
Can You Solve This Equations?

4K views · Nov 6, 2022 analyzemath.com

This video explains the steps to solve a challenging logarithmic equation. The two logarithms in the equation are different and one of the bases is unknown. The main idea in solving this equation is to use the change of base formula in logarithms. More on rules of logarithms at https://www.analyzemath.com/logfunction/rules-of-logarithms-and-exponentials-questions-with-solutions.html More on logarithms at https://www.analyzemath.com/math_questions/math_questions_3.html More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1