Logarithm Jeoprady Math 101i

Log vs. Exponential

100

Rewrite the following function in the opposite form.

log₈1=0

8⁰=1

200

Rewrite the following function in the opposite form.

9^(1/2)=3

log₉3=(1/2)

300

Rewrite the following function in the opposite form.

10³=1000

log1000=3

400

Rewrite the following function in the opposite form.

log₁₀₀(1/10)=-(1/2)

100^(-1/2)=(1/10)

Basic Knowledge

100

What is B in a logarithmic equation?

B is the base

200

The a in a logarithmic equation

a is the argument

300

What is the logarithmic equation

logb a =x

400

What is change of base formula?

instead of multiplying between the argument and base you DIVIDE

Fractions Converting

100

what is this equation in exponentialt form 

log12(1/144)=-2

12^-2=1/144

200

convert this to exponential form:

log4(1/256)=-4

4^-4=1/256

300

Evaluate the following log. 

log₄(1/64)

-3

400

Evaluate the following log. 

log₅(1/125)

-3

Solve for x!

100

Solve the following equations for x. 

log₄₉7=x

x= 1/2

200

Solve the following equations for x. 

4^x+2=8

x=(-1/2)

300

Solve the following equations for x. 

log_bb=x

x=1

400

Solve the following equation for x. Round to the nearest hundredth if necessary. 

4^(3x-1) = 10

x = 0.887