What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence?
Exponents are 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 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
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.
And if you look at them on a graph, usually the exponential rockets to really high values of Y for larger values of X. Logarithms start really high on Y when X is next to 0.