Exponential Facts
The parent function of a log
What is logba=x
Solve 5x+10=25
What is -8?
An irrational number that describes real world situations in logarithmic & exponential functions
What is e?
Logarithmic functions with base e
What is natural log
Solve 2logm=log36
What is m=6
True or False? The graph of an exponential function shows continuous rate of change.
What is false
Solve 7-4x+1=18
What is no solution
The inverse of a logarithmic function
What is exponential
The parent function of a log
What is logba=x
ln8+ln(n-9)=5ln2
What is n=13
True or false? The line on an exponential graph is called a parabola
False
Solve 1442x-4=125x-1
What is x=3
The base when something grows exponentially
What is e
A log with base 10
What is common log
Solve log4(2m3-14m2)-log4(2m)=log48
What is m=8
True or false? An exponential function has a vertical and horizontal asymptote
False
Solve 5 xx 9v-1+1=181
What is v=2.63
Rewrite in exponential form:
Log 3(2x) = 7
What is 37 = 2x
If the bases are equal then the arguments are...
What is the same
Solve log9(6-3w)=log9(-2w)
What is extraneous
A big example of exponential functions
A $12000 car depreciates in value by 11% each year. How much will the car be worth in 5 years?
What is $6,700.87
The Compound Interest Formula?
A=P(1+(r/n))nt
Two types of logarithms
What is natural logarithms and common logarithms
If $2500 was invested 6 years ago, and the interest was compounded quarterly, what was the interest rate if the current value is $3425
What is 5%