Logarithmic Equations and Powers

Logarithmic Equations and Powers

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve an equation where the variable X is in the exponent. It first demonstrates solving by matching powers with the same base, using the example of 3 raised to the power of 9 minus 3X equals 27. The tutorial then shows an alternative method using logarithms to achieve the same result. Both methods are explained step-by-step, ensuring a clear understanding of the process.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial equation discussed in the video?

9 raised to the power of 3x equals 27

3 raised to the power of 9x equals 27

3 raised to the power of x equals 27

3 raised to the power of 9 minus 3x equals 27

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it not necessary to use logarithms in this case?

Because logarithms are too complex

Because 27 can be rewritten as a power of 3

Because the base is not 10

Because the equation is already solved

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 27 be expressed as a power of 3?

3 to the power of 2

3 to the power of 5

3 to the power of 3

3 to the power of 4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be true for the powers when the bases are the same?

The powers must be equal

The powers must be different

The powers must be zero

The powers must be negative

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of matching the powers in the equation?

To simplify the equation

To complicate the equation

To change the base

To eliminate the variable

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the resulting equation after matching the powers?

9 - 3x = 0

9 - 3x = 27

9 - 3x = 9

9 - 3x = 3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x after solving the linear equation?

0

1

3

2

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