Pre-Calculus - How to evaluate a logarithm using the change of base formula, 1.06^x = 4.1

Pre-Calculus - How to evaluate a logarithm using the change of base formula, 1.06^x = 4.1

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an exponential equation by converting it to logarithmic form. The instructor demonstrates using the change of base formula to calculate the solution with a calculator. The process involves understanding the problem, converting it to a logarithmic equation, applying the change of base formula, and using a calculator to find the approximate solution. The tutorial concludes with a brief summary of the steps taken to solve the problem.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the logarithmic form of the equation 1.06 raised to X equals 4.1?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the change of base formula used in logarithmic calculations.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you calculate log base 1.06 of 4.1 using a calculator?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the approximate value of log base 1.06 of 4.1?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two methods mentioned for solving exponential equations?

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