Converting an equation to exponential form

Converting an equation to exponential form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The teacher introduces a new equation problem and discusses converting logarithmic equations to exponential form. The lesson involves solving the equation using properties of exponents, with a focus on rewriting and evaluating expressions. The teacher guides students through calculations, emphasizing understanding and application of mathematical concepts.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step when you cannot solve an equation using properties of exponents?

Convert it to a logarithmic equation

Convert it to an exponential equation

Use a calculator to find the solution

Guess the solution

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 3 raised to the fifth power?

243

300

3125

125

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express the equation 3^5 = 4x - 17 in terms of x?

x = (3^5 - 17) / 4

x = (3^5 + 17) / 4

x = 4 * (3^5 + 17)

x = 4 / (3^5 - 17)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after calculating 3^5 in solving the equation 3^5 = 4x - 17?

Add 17 to both sides

Subtract 17 from both sides

Multiply both sides by 4

Divide both sides by 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the teacher suggest about the difficulty of future problems?

They will be unrelated

They will be more challenging

They will be the same

They will be easier