Solve the Logarithmic Equations : ln(x^2+-2) - ln(x-1) = 2 Grade 12

19K views Oct 3, 2022
publisher-humix

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

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