Algebra Test 6b Review

Question 1

Base 10 Logarithm

Answer 1

y=log x if and only if x=10^y

Question 2

Logarithm of a Power of 10

Answer 2

log 10^x = x

Question 3

Base b Logarithm

Answer 3

y=log^bx if and only if b^y=x

Question 4

Logarithm of a Product

Answer 4

logb(xy)=logb(x)+logb(y)

Question 5

Logarithm of a Quotient

Answer 5

logb (x/y) = logbx-logby

Question 6

Logarithm of a Power

Answer 6

logb(x^n) = nlogb^x

Question 7

Change-of-Base Property of Logarithms

Answer 7

logbx= loga^x/ loga^b

Question 8

1)

If a variable is in the power of an exponent, switch the problem to a logarithm by using the

Answer 8

definition

Logarithm OR by taking the log of both sides.

Question 9

2) If a variable is the argument of a log, change the problem to

Answer 9

exponential form.

Question 10

Exponential form to Logarithmic form EX

Answer 10

If 2^3=8 than log2^8=3

Question 11

3) If a variable is the power of an argument of a log, use the

Answer 11

Logarithm of a Power Property.

Question 12

4) If a variable is the logarithm of a logarithm

that is not base 10, change to

Answer 12

exponential form using the definition or use the Change-of-Base Property.

Question 13

5) If the variable is the base of a log, change to

Answer 13

exponential form using the definition.