✅ Video Overview:
In this session, we tackle an exponential equation problem and break it down step-by-step to find the value of x. This video is ideal for students preparing for competitive exams, math enthusiasts, and anyone looking to enhance their problem-solving skills.
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✅ Key Concepts Covered:
Exponential Equations:
Simplifying and solving exponential expressions.
Applying logarithms to solve for variables in exponentials.
Problem Solving Steps:
Detailed breakdown of each mathematical step.
Logical progression from problem statement to final solution.
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✅ Detailed Steps:
Given the equation:
8^x + 8^x + 8^x = 888
Step 1: Combine like terms:
8^x * (1 + 1 + 1) = 888
3 * 8^x = 888
Step 2: Divide both sides by 3:
8^x = 888 / 3
8^x = 296
Step 3: Apply logarithms to both sides:
log(8^x) = log(296)
Step 4: Use the power rule of logarithms:
x * log(8) = log(296)
Step 5: Solve for x:
x = log(296) / log(8)
Thus, the solution is:
x = log(296) / log(8)
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✅ Learning Outcomes:
By the end of this video, you will:
Understand how to manipulate and simplify exponential expressions.
Be able to apply logarithmic properties to solve exponential equations.
Gain confidence in breaking down and solving algebraic problems step-by-step.
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✅ Also you can see:
• Mastering Mind-Blowing...
• Master the Pythagorean...
• Mastering Logarithms: ...
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✅ Why Subscribe to SciMarvels?
At SciMarvels, we are dedicated to making complex math and science problems accessible and enjoyable. Our unique approach to solving problems allows you to focus solely on the concepts, 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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