How To Evaluate a Logarithmic Expression Using Negative Exponents

The video tutorial explains how to solve logarithmic equations by equating exponents with the same base. It covers rewriting fractions using negative powers and demonstrates the process without a calculator. The tutorial also guides on using calculators for verification. Key concepts include understanding negative powers, base conversion, and applying the one-to-one property to find solutions.

What is the main challenge when trying to equate 3 raised to a power with 1/81?

• Converting the fraction to a decimal

• Understanding the concept of logarithms

• Finding a common base for both numbers

• Using a calculator to solve the problem

How can a fraction be rewritten as a whole number using exponents?

• By multiplying the fraction by itself

• By using positive exponents

• By using negative exponents

• By converting it to a decimal

What does the expression X to the negative first power equal?

• X cubed

• X squared

• 1/X

• X

What is the one-to-one property of exponents used for in this problem?

• To simplify the expression

• To convert fractions to decimals

• To find the base of the exponent

• To equate two expressions with the same base

What is the value of X when 3 raised to the X equals 1/81?

• -4

• 4

• -3

• 3