Solve an exponential equation by taking log of both sides & approximating the value

Solve an exponential equation by taking log of both sides & approximating the value

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to solve for X in an equation where the bases are different and cannot be rewritten to match. The instructor introduces the use of logarithms, specifically taking the log of both sides of the equation, to solve for X. The tutorial also covers the change of base formula, which is necessary when calculators only support base 10 logarithms. The process involves calculating log base 5 divided by log base 3 to find the solution, which is approximately 1.5 when rounded to the tenth.

Read more

2 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of choosing log base three in this example?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate log base 5 divided by log base 3 using a scientific calculator?

Evaluate responses using AI:

OFF