Math Olympiad Exponential Equation: Can you solve for x ?
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- Опубликовано: 12 дек 2024
- #matholympiadalgebra #matholympiadquestion #learnhowtosolvetheexponentialequation #exponentialequation
The Math Olympiad is a competitive examination designed to challenge and inspire students with a strong interest and love for mathematics.
In this tutorial, you will learn the step-by-step guide on how to Solve Exam Tricky Exponential Equations in their simplified form.
A good knowledge on the use of Exponential/Indcial Rules, Logarithms and solving of equations are added advantage for better solving of these exponential equations.
However, they were considered in this tutorial to encourage beginners who have zero skills and with different learning pace.
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Let y=1/3^x. Then y^2-6y+8=0 which factors since b^2-4ac=36-32=2=2^2.
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Substitute y=3^{-x} into the given equation and rearrange to y^2-6y+8=0, which has roots y=(6±2)/2=4 or 2.
Thus, x=-ln4/ln3=-1.26186... or x=-ln2/ln3=-0.630930....
For further studies on #matholympiad Exponential (Indices) problems, kindly click the link ruclips.net/p/PLVcWSTbc_4a2v3prPWnDhJSi--js_DBbw&si=BeCX8cYFDfbq63Cc
The video and Audio is very clear
Please which device are u using