How to Solve Maths Homeworks Faster | Exponential Problem | Mathematics Tricky Questions 3^x +3^x=90

Описание: 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 3^x + 3^x = 90, find x.
1. Combine like terms: 3^x + 3^x = 2 * 3^x = 90
2. Isolate the exponential term: 2 * 3^x = 90 so 3^x = 90 / 2
3. Simplify the right-hand side: 3^x = 45
4. Take the logarithm of both sides to solve for x: log(3^x) = log(45)
5. Apply the power rule of logarithms: x * log(3) = log(45)
6. Solve for x: x = log(45) / log(3)
Therefore, the value of x is: x = log(45) / log(3)
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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 Math Olympiad problems | Math...  
   • How to Solve the Problem of 4^x + 4^x + 4^...  
   • How to Solve Exponential Subtraction 2^100...  
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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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