How to Find the Unknown Base x in a Mixed Equation | Number Bases.

How do you solve an equation containing three completely different number bases?

In this video, we break down how to find the value of the unknown base x in the equation 312_{\text{four}} + 52_x = 96_{\text{ten}} using clear, easy-to-follow steps.

What you will learn in this video:
How to convert a base 4 number (312_{\text{four}}) into the decimal system (base 10).

How to expand a number with an unknown base x (52_x) into an algebraic expression.

How to collect like terms and isolate the variable to find the correct base.

Crucial number base constraints (why the answer must be greater than 5).

Timestamps:
0:00 - Problem Introduction & Strategy
0:55 - Converting 312_{\text{four}} to Base 10
2:10 - Expanding 52_x algebraically
3:30 - Setting up the linear equation in Base 10
4:45 - Solving for x and final rule verification.

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Видео How to Find the Unknown Base x in a Mixed Equation | Number Bases. канала JahChebe Academy