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3 years ago

What is the solution to this equation 216 = 62x - 1

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

Answer:

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality

Subtraction Property of Equality

Algebra II

Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 216 = 6^{2x - 1}$

Step 2: Solve for x

Rewrite: $\displaystyle 6^3 = 6^{2x - 1}$
Set: $\displaystyle 3 = 2x - 1$
[Addition Property of Equality] Add 1 on both sides: $\displaystyle 4 = 2x$
[Division Property of Equality] Divide 2 on both sides: $\displaystyle 2 = x$
Rewrite: $\displaystyle x = 2$

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