Solving an exponential equation using the one to one property 16^x + 2 = 6

Solving an exponential equation using the one to one property 16^x + 2 = 6

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an exponential equation by isolating the exponent, using logarithms, and applying the one-to-one property. It demonstrates rewriting bases to be the same and applying the power rule to equate exponents, ultimately solving for the variable.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation with an exponent?

Multiply both sides by the base

Isolate the exponent

Add a constant to both sides

Divide both sides by the exponent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the one-to-one property used for in solving equations?

To add exponents

To subtract exponents

To equate exponents when bases are the same

To divide exponents

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you rewrite 16 as a power of 4?

4^1

4^2

4^3

4^4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the power rule state about exponents?

You subtract the exponents

You divide the exponents

You add the exponents

You multiply the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of X in the equation 16^X = 4?

1/2

4

1

2