exponential and logs Flashcards
What equation is an exponential function?
y=#^x needs variable in exponent
Exponential growth equation
y=#^x #>1
Exponential growth graph
Starts at asymptote ends at exponential
Exponential decay equation
y=#^x #<1
Exponential decay graph
Starts at exponential ends at asymptote
How do you find the y intercept for an exponential function?
Make x=0
What is 3^0
1
How do you find a horizontal asymptote for exponential functions?
The number added:c
What is the horizontal asymptote in y=3^x+5
5
What is the horizontal asymptote in y=2^x-4
-4
What is the horizontal asymptote in y=-5^x+1
1
What is the horizontal asymptote in y=3^x
0
How do you change exponents to logs?
base^exponent=answer log_base(answer)=exponent
To solve a log equation you….
make it an exponnential equation
to solve an exponential equation you…
make it a log equation
When you add same base logs you can _____________ the answers
multiply
When you subtract same base logs you can _____________ the answers
divide
When there is a coefficient in front of a log you make it _________
the exponent
When you have an exponent on a log you can move it to…
the coefficient
log1010=
1
How do you change 1 into a log?
log1010 or any other numbers that match
When do things cancle in logs?
when the base and number are the same they become one
What does log553 become?
3