Can you solve this| Math Olympiad|Harvard MIT |Exponential equation

Stuck on exponential equations? In this quick tutorial, we solve:
\frac{2^{x+1}+2^x}{6} = 32
No calculator needed. I’ll show you the fast trick using exponent laws and factoring to get the answer in under 2 minutes.

*What you’ll learn:*
1. How to factor out common terms in exponential expressions
2. Simplifying equations with powers of 2
3. Solving for x step by step

This is a common problem in algebra, JEE, SAT, and GCSE math. If you get this, you can solve most exponential equations.

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*Timestamps:*
0:00 Problem setup
0:15 Factor $2^x$ from numerator
0:45 Simplify and isolate $2^x$
1:20 Solve for x
1:40 Final answer & quick check

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*Answer:* $x = 5$

Try these next:
$\frac{3^{x+1}+3^x}{4} = 27$
$\frac{5^{x+2}-5^x}{24} = 5$

Drop your answer in the comments and I’ll check it!

#Math #Algebra #ExponentialEquations #MathTutorial #SATMath #JEE #GCSEMaths

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