Logs
Exponents
Condensing and Expanding logs
Calculating Interest
100
Log100,000
What is 5
100
3^3
What is 27?
100
log2 (xyz)
What is log2 (x)+ log2 (y) + log2 (z)
100
Suppose you deposit $6000 into an account that pays 3% annual interest. How much will you have after 7 years?
What is $7379.24
200
log3 (square root of 10)
What is 1.04795
200
3^(x+1)= 9^x Find X
What is x=1
200
log2 (5^3)
What is 3log2 (5)
200
Suppose you deposit $4000 into an account that pays 4% annual interest compounded continually. How much will you have after 2 years?
What is $4,333.15
300
log6 (10)
What is 1.285097
300
6^x=15 Find X
What is 1.511
300
log2 (9)
What is 2log2 (3)
300
Jeff deposits $4000 into an account that pays 4.5% interest compounded continuously. How much does he have after 5 years?
What is $5009.29
400
log 10^3
What is 3
400
12^(2x-1)=64 Find X
What is 1.33685
400
log2 [x/(yz)]
What is log2 (x) -log2 (y) -log2 (z)
400
You buy a new car for $18,000. It depreciates 25% each year for 4 years. What is the value of the car after 4 years?
What is $5695.31
500
log5 (5)
What is 1
500
2 log (2x+5)-3=1 Find X
What is 47.5
500
log [(5x)/(4y)]
What is log2 (5)+log2 (x)- log2 (4)-log2 (y)
500
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6%. No money is added or withdrawn. How many years will it take for the account to contain $4000 (round to the nearest hundredth)?
What is 16.83 years