How to solve an equation with the variable as the exponent, 3^(x/2) = 315

How to solve an equation with the variable as the exponent, 3^(x/2) = 315

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve the equation X / 2 = 315 by converting it from exponential to logarithmic form. It demonstrates solving for X using the change of base formula and discusses the use of logarithms to eliminate bases. The tutorial concludes with a final calculation to find the value of X, emphasizing the use of base 10 logarithms for calculators that do not support other bases.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it necessary to take the log of both sides when solving the equation?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What final value did the teacher calculate for X, and how was it derived?

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