Welcome to SciMarvels! In this video, we solve an interesting math problem involving exponential equations to find the value of x. 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
• Logarithmic Functions
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✅ Detailed Steps
We begin with the problem: If 81^x + 81^x + 81^x = 18, find x.
1. Combine like terms: 81^x + 81^x + 81^x = 3 * 81^x = 18
2. Isolate the exponential term: 3 * 81^x = 18 81^x = 18 / 3
3. Simplify the right-hand side: 81^x = 6
4. Take the logarithm of both sides to solve for x: log(81^x) = log(6)
5. Apply the power rule of logarithms: x * log(81) = log(6)
6. Solve for x: x = log(6) / log(81)
Therefore, the value of x is: x = log(6) / log(81)
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✅ Learning Outcomes
By the end of this video, you will:
• Understand how to manipulate and solve exponential equations.
• Learn to use logarithms to solve for variables in exponentiation.
• 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
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