Logarithmic Functions (6.4)

Question 1

What is y=logb(x) equivalent to?

Answer 1

x=b^y

Question 2

How do you translate to exponential form?

Answer 2

Bring number in the parentheses to the left side, bring the bottom number to the right and raise it to the power of what the logarithmic function is equal to. Ex- y=logb(x) = x=b^y

Question 3

What is the relation between logarithms and exponentials?

Answer 3

Logarithms are inverse to exponentials

Question 4

What is the relationships between exponential and logarithmic functions domains?

Answer 4

The are opposite of one another. Exponential domain = logarithmic range and exponential range = logarithmic domain

Question 5

What are the logarithmic special bases?

Answer 5

Common log - b=10; y=log10(x) = log(x)
Natural log - b=e; y=loge(x) = ln(x)