Exponentials and Logarithms

Question 1

Express y=a^k in logarithmic form.

Answer 1

log_y=k
a

(Sometimes referred to as BAP i.e. base, answer, power)

Question 2

What does:
(i) log_b+log_c give you?
a a
(ii) log_b-log_c give you?
a a
(iii) xlog_b give you?
a

Answer 2

(i) log_bc
a
(ii) log_(b/c)
a
(iii) log_b^x
a

Question 3

What is the “initial value” of an exponential function?

Answer 3

The number in front of the e (the multiplier)

i.e. what you get when e is to the power 0.

Question 4

How do you turn a log graph into a log equation?

Answer 4

Replace each element of y=mx+c with the components from the graph.