Solving an exponential equation with a fraction as the exponent

Solving an exponential equation with a fraction as the exponent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to solve exponential equations by using logarithms. It covers the inverse property of logarithms, one-to-one properties, and demonstrates the step-by-step process of solving an equation. The tutorial also discusses the use of calculators for finding approximate values and emphasizes the importance of understanding mathematical properties.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of log base a of a raised to the power of X?

1

a

X

0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If log of X equals log of Y, what can be concluded about X and Y?

X and Y are unrelated

X equals Y

X is less than Y

X is greater than Y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you exponentiate both sides of an equation with the same base?

The equation becomes invalid

The equation remains unchanged

The bases cancel out

The exponents must be equal

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you eliminate a fraction in an equation?

Subtract the denominator from both sides

Multiply both sides by the denominator

Add the denominator to both sides

Divide both sides by the numerator

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of multiplying both sides of an equation by a negative number?

It makes the equation invalid

It reverses the inequality

It has no effect

It changes the sign of the variable