1.
distinguish between exponents and logarithms using both a graph and a sequence
Solution
Exponents An exponent signifies the number of times the base number is multiplied by itself
(squared, cubed, etc.). Exponential numbers tend to be really large, or very small if the exponents
are negative. Logarithms Logarithms are a measure of the order of magnitude of a number, the
value of the exponent that would be required to express it. Logarithms never get exorbitantly
large, so they are useful for expressing in smaller numbers things that are extremely large or
have a wide range. Relation Exponential and logarithm functions are the inverse of each other.
They have a simple mathematical relationship: The exponentiation of a logarithm of a number
and the logarithm of its exponential are both equal to the original number. Using Exponents
Exponentials allow us to generate very large numbers like 10 to the ninth bytes of data (a
Gigabyte). Using Logarithms Logarithmic scales are used for earthquake magnitudes and the
loudness of sounds. It is much simpler to refer to three steps on the Richter scale than a
thousandfold increase in forces.