Solving an exponential equation by taking the log of both sides

The video tutorial explains how to solve exponential equations using different methods, including the one-to-one property and logarithms. It starts with basic exponent concepts and progresses to solving equations with non-integer solutions. The tutorial emphasizes the use of logarithms, particularly the change of base formula, to find solutions. Multiple methods are discussed, allowing learners to choose the approach that suits them best.

What is the value of X in the equation 3^X = 9?

• 2

• 1

• 3

• 4

Which method can be used to solve the equation 3^X = 10?

• Using the one-to-one property

• Using substitution

• Using logarithms

• Using the quadratic formula

What is the base of the logarithm if it is not specified?

• Base 2

• Base 3

• Base e

• Base 10

What is the result of log base 3 of 3 raised to the X?

• 0

• 3

• 1

• X

Which formula is used to change the base of a logarithm?

• log base a of b = log base b of a

• log base a of b = log base 10 of a / log base 10 of b

• log base a of b = log base 10 of b / log base 10 of a

• log base a of b = log base a of b * log base b of a