Chapter 14: Exponentials And Logarithms

Question 1

Give the formula for adding two logs with the same base:

Answer 1

Log(a) + log(b) = log (ab)

Question 2

Give the formula for subtracting two logs with the same base:

Answer 2

Log(a) - log(b) = log (a/b)

Question 3

Give the formula for multiplying a log by K:

Answer 3

K log (X) = log (X^K)

Question 4

What is 10^(a log b) equivalent to?

Log= log to the base of 10

Answer 4

b ^ a

Question 5

Give a simple example of an exponential function:

Answer 5

f(x)= a^x

Question 6

What does an exponential graph look like in general when coefficient is at least 1?

Answer 6

Has a asymptote of y=0.

A curve that is always increasing gradient.

Question 7

What is so special about e^x?

Answer 7

When f(x)= e^x, f’(x)= e^x