Solving exponential equation the easy way one to one properties

Solving exponential equation the easy way one to one properties

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to handle equations with different bases by simplifying them to a common base. It covers the use of the distributive property to solve equations and provides a step-by-step example. The tutorial emphasizes that even if bases are not initially the same, they can often be rewritten to have a common base, facilitating easier equation solving.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common challenge when working with bases in mathematics?

Identifying when a base is already simplified

Finding the square root of a base

Dividing bases by zero

Multiplying different bases

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express 16 and 32 using the same base?

16 as 2^3 and 32 as 2^4

16 as 2^4 and 32 as 2^5

16 as 4^2 and 32 as 4^3

16 as 3^2 and 32 as 3^3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical property is applied after rewriting numbers with the same base?

Identity property

Distributive property

Associative property

Commutative property

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of solving the equation 4X - 12 = 5?

X = 3.25

X = 4.25

X = 5.25

X = 2.25

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you remember about bases that do not initially match?

They can never be rewritten to match

They can often be broken down to have the same base

They should be left as they are

They need to be multiplied by zero