Solve the Exponential Equation 3 * 4^x + 2^x = 30 - Grade 12

131K views Oct 3, 2022
publisher-humix

analyzemath.com

In this video, an equation with exponential functions of different bases is solved with all detailed steps and rules of exponents used to transform the equation. The expression 4^x is first transformed as (2^2)^x = 2^(2x) = (2^x)^2, hence the exponents are written with the same base. Then the substitution u = 2^x is made and the equation is written as a quadratic equation then solved for u then u solved for x. More from 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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