Learn how to solve an exponential equation by isolating exponent and taking log 10^x +5=50

Learn how to solve an exponential equation by isolating exponent and taking log 10^x +5=50

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial explains how to solve an exponential equation by isolating the variable and applying logarithms. It distinguishes between using base 10 and natural logarithms, emphasizing when to use each. The tutorial also demonstrates how to use a calculator for logarithmic calculations, highlighting the importance of understanding the change of base formula.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to isolate X in the equation 10 raised to the X = 45?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of taking the logarithm of both sides in the context of the given problem.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it unnecessary to use the natural logarithm in this problem?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the significance of using base 10 logarithm in this context.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of log base 10 of 45 as mentioned in the text?

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