This is the general form of a logarithmic equation.
What is y equals log base b of x?
100
Logarithms and exponentials are this of each other.
What are inverses?
100
Adding logarithms, you do this to the arguments to create a single log.
What is multiply?
100
log(10^x).
What is x?
100
The time it takes for the amount of a substance with a half-life of one hour to dissolve to 106mg if 500mg were initially present.
What is 2.2 hours?
200
y=logx can be written as this exponential
What is 10^y=x?
200
What we take the log of.
What is the argument?
200
2logx can be written as this using the properties of logs. This form will be useful if you wish to set the arguments equal on both sides of an equation to solve for x.
What is log(x^2)?
200
3^x=54 solved for x.
What is 3.63?
200
3 fields of study discussed in class that use logarithms.
What is any 3 of mathematics, biology, physics, or chemistry?
300
10^3=1000 in logarithmic form.
What is log1000=3?
300
Where the curve crosses the y-axis on the graph of an exponential equation.
What is the focal point?
300
log(x-2)+log(6x)-log(2) written as one logarithm.
What is log(3x^2-6x)?
300
logx+log(x+15)=2 solved for x.
What is x=5?
300
$4000 is deposited into an account paying 3% interest annually and at the same time $2000 is deposited into an account paying 5% interest annually. This is the time it takes for the two accounts to have the same balance.
What is 36.04 years?
400
The solution of log1000000.
What is 6?
400
The line y=x is called this.
What is the mirror line?
400
2logx=log(2x+12)-log2 solved for x.
What is x=3?
400
2(5)^(2x)-5^x=6 solved for x.
What is log2/log5 or 0.43?
400
A population that is growing exponentially increases from 800 000 in 2004 to 1 000 000 in 2008. If this pattern continues, this will be the population in 2010.
What is 1118033?
500
A log with a base of 3, an argument of 27, and a solution of 3 can be written as this in exponential form.
What is 3^3=27?
500
Logarithms and exponentials have these.
What are bases?
500
-logp+log(x-2)-log7+3logx written as a single log.
What is log( (x^4-2x^3) / 7p )
500
log2+log3=x solved for x.
What is log6/log10 or 0.778?
500
Alex places $3000 into a savings account that, after 7 years, grew to $4000. This is the annual rate of interest Alex had.