RULES OF LOGARITHMS - Problem 1

Let a be a positive number such that a does not equal 1, let n be a real number, and let u and v be positive real numbers.

Logarithmic Rule 1:

Problem 1: Calculate .

Answer: 5.63478960317

Solution: The problem can be worked two ways, as is, and expanded.

can be written Ln280=5.63478960317 .
can also be written

Since the answers are the same, then

Note: The numbers 1.94591014906, 3.68887945411, and 5.63478960317 are the exponents. Ln means the base is e. Let's check the answer in terms of exponents:

If you would like to work another problem, click on Next Problem.

[Next Problem] [Menu Back to Logarithmic Rule 1]

[Algebra] [Trigonometry] [Complex Variables]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Author: Nancy Marcus