Tutorial - Evaluate a Log with a Larger Base Than the Value Without a Calculator

The video tutorial explains how to solve a logarithmic problem involving log base 6 of 216 by determining the exponent that makes 6 raised to that power equal 216. It then reverses the problem to find what power 216 must be raised to equal 6. The instructor demonstrates using the one-to-one property of exponents to solve the equation and concludes by showing how to evaluate the logarithm without a calculator.

What is the value of log base 6 of 216?

• 4

• 5

• 3

• 2

If 6 raised to the third power equals 216, what does this imply about the logarithmic expression?

• It equals 4

• It equals 2

• It equals 3

• It equals 5

How can 216 be rewritten to solve the equation 216^x = 6?

• As 6^4

• As 6^3

• As 6^2

• As 6^5

What property allows us to equate the exponents when the bases are the same?

• Quotient rule

• Power rule

• One-to-one property

• Product rule

What is the value of x in the equation 6^(3x) = 6^1?

• 1/5

• 1/3

• 1/2

• 1/4