Learn how to solve an exponential equation when the base is three

The video tutorial explains how to isolate the exponent in an equation and solve it using logarithms. It demonstrates the use of the change of base formula to calculate logarithms when a calculator does not support different bases. The final solution is approximated to 1.63.

What is the first step in solving the equation 3^x - 1 = 5?

• Multiply both sides by 3

• Add 1 to both sides

• Subtract 1 from both sides

• Divide both sides by 3

Which logarithmic base is used to simplify the expression 3^x = 6?

• Base 10

• Base 3

• Base e

• Base 6

What does the expression log base 3 of 6 represent?

• 6 divided by 3

• 3 multiplied by 6

• 3 raised to what number equals 6

• 6 raised to what number equals 3

Why is the change of base formula used in this context?

• To simplify the equation

• To avoid using logarithms

• To convert the equation to a different form

• To use a calculator that only supports base 10

How do you calculate log base 3 of 6 using a calculator that only supports base 10?

• log(6) + log(3)

• log(6) * log(3)

• log(6) / log(3)

• log(3) / log(6)