Logarithms

Question 1

What are Logarithms?

Answer 1

Change to exponential functions

Question 2

How does the number in front of the x in y=a^x affect the curve?

Answer 2

The bigger the number the bigger the curve

Question 3

What is the equation for logarithms?

Answer 3

loga n = x

a^x = n

Question 4

What is the multiplication law of logarithms?

Answer 4

loga xy = loga x + loga y

Question 5

What is the division law of logarithms?

Answer 5

loga (x/y) = loga x - loga y

Question 6

What is the power law of logarithms?

Answer 6

loga (x)^k = kloga x

Question 7

What is the fourth law of logarithms?

Answer 7

loga (1/x) = -loga x

Question 8

How do you draw a logarithm graph?

Answer 8

y = ax^n
logy = logax^n
logy = nlogx + loga
y = mx + c

Question 9

How do you solve exponentials? e^x = 2

Answer 9

e^x = 2
Ine^x = In2
xIne = In2
Ine = 1
x = In2

Question 10

How do you solve exponentials? In^x = 3

Answer 10

In^x = 3
e^Inx = e^3
Inxe = e^3
x = e^3

Question 11

What is exponential logarithms formula?

Answer 11

Inx = y
x = e^y

Question 12

What is In?

Answer 12

natural logarithms

under x on calc