Learn how to take log of both sides to solve an exponential equation

The video tutorial explains how to solve equations involving exponents by isolating the exponent and using logarithms. It discusses the challenge of using calculators that only support log base 10 and introduces the change of base formula to overcome this. The tutorial demonstrates how to apply this formula to calculate logarithms with different bases and solve for variables in equations.

What is the first step in solving an equation involving exponents?

• Combine like terms

• Isolate the exponent

• Use the quadratic formula

• Factor the equation

Why can't the one-to-one property be used in this scenario?

• The bases are not the same

• The terms are not like terms

• The exponents are too large

• The equation is not quadratic

What base is typically used by scientific calculators for logarithms?

• Base 10

• Base 3

• Base 2

• Base e

What is the purpose of the change of base formula?

• To simplify fractions

• To convert logarithms to a different base

• To find the derivative of a function

• To solve quadratic equations

What is the approximate value of X after solving the equation?

• 0.77

• 1.77

• 2.77

• 3.77