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

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.

What is the main issue when trying to solve the equation X = 5 with different bases?

• The bases are the same.

• The bases are different and cannot be rewritten to be the same.

• The equation is already solved.

• The bases are both zero.

Why do we take the logarithm of both sides of an equation?

• To change the base of the equation.

• To add more complexity to the problem.

• To eliminate the exponent and solve for the variable.

• To make the equation longer.

Which base is chosen for the logarithm in the example, and why?

• Base 2, because it is the simplest.

• Base 3, because it matches the base of the exponent.

• Base 5, because it matches the exponent.

• Base 10, because it is the most common.

What is the purpose of the change of base formula?

• To solve equations without using a calculator.

• To convert logarithms to a base that the calculator can handle.

• To avoid using logarithms altogether.

• To make the equation more complex.

How do you use a calculator to find the solution using the change of base formula?

• Type in log of 3 divided by log of 5.

• Type in log of 5 divided by log of 3.

• Type in log of 10 divided by log of 3.

• Type in log of 5 multiplied by log of 3.