Welcome to SciMarvels! In this video, we solve an intriguing SAT math problem involving exponential equations to find the value of 3^(2x-1) given that 3^x = 6. Watch as we solve the problem step-by-step on paper, providing a clear and detailed explanation without any voiceover. This unique approach allows you to focus entirely on the math and understand the process visually.
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✅ Key Concepts Covered
• Exponential Equations
• Algebraic Manipulations
• Problem-Solving Strategies
• Power Rules
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✅ Detailed Steps
We begin with the problem: If 3^x = 6, find 3^(2x-1).
1. Given the equation:
3^x = 6
2. Express 3^(2x-1) in terms of 3^x:
3^(2x-1) = 3^(2x) / 3
3. Square the given equation to find 3^(2x):
(3^x)^2 = 6^2
3^(2x) = 36
4. Substitute the value of 3^(2x) into the expression:
3^(2x-1) = 3^(2x) / 3
3^(2x-1) = 36 / 3
5. Simplify the division:
3^(2x-1) = 12
Therefore, the value of 3^(2x-1) is: 3^(2x-1) = 12
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✅ Learning Outcomes
By the end of this video, you will:
• Understand how to manipulate and solve exponential equations.
• Learn to express exponential terms in different forms.
• Gain skills in algebraic manipulation and problem-solving strategies.
• Develop a deeper understanding of how to approach and solve math problems.
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✅ Also you can see:
• How to Solve 8^x + 2^x...
• Vedic Maths Exponents ...
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✅ Why Subscribe to SciMarvels?
At SciMarvels, we are dedicated to making math and physics problems accessible and enjoyable. Our unique approach of solving problems without voiceovers allows you to concentrate solely on the math, fostering a deeper understanding. Subscribe to join a community of learners who are passionate about mastering scientific concepts through clear, step-by-step solutions.
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✅ Tags
#MathChallenge #ExponentialEquations #MathTutorial #SciMarvels #MathSkills #LearnMath #MathWithoutVoice #Educational #MathVideos #STEM #ScienceEducation #MathHelp #Mathematics #HighSchoolMath #MathPractice #MathConcepts #AlgebraicEquations #LearningMathematics #MathSolutions #MathStrategies math problems , maths tricks , algebra , calculus , math training , math competition, step-by-step tutorial, Mathematical problems, how to learn power in math,exponent problems ,Tips for solving math problems, How to Solve, Fast Calculation, easy tricks, solve maths problems,mathematics tricky questions , maths problems for competitive exams , tricks to solve maths problems faster , SAT , SAT Problem , SAT Math Tips , How to Solve Exponential , Math tips , Exponential Problem , Strategies
Негізгі бет How to Solve Exponential Problems | SAT Math Tips , Tricks and Strategies for Fast Calculation
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