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Simplifying
Equations
Log Props
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100
The graph of -5x+3+4 has an asymptote at...
What is y=4?
100
log41024
What is 5?
100
7-2ex = 4
What is x=ln(3/2)=0.406
100
Condense: 4logx+logy-0.5logz
What is (see teacher's screen - slide#1)?
100
Find the number of years required for a $1000 investment to double at an 7% interest rate compounded continuously.
What is about 9.902 years?
200
The domain of all exponential functions is...
What is "all real numbers"?
200
3log51/5
What is -3?
200
ln(x+1)2 = 2
What is x=e-1=1.718
200
Evaluate using Change of Base Formula: log73
What is 0.565
200
How much money should be invested at a rate of 6% compounded annually to produce a final balance of $2,000 in 5 years?
What is $1,494.52?
300
The graph of 3log2(x-5) has an asymptote at...
What is x=5?
300
Simplify - leave as an exact answer: ln(3e-4)
What is ln3-4?
300
log3(x-3)+log3(x-2)=log3(2x+24)
What is x=9?
300
Condense: [2logx+5logy]-(1/3)logz
What is (see teacher's screen - slide #2)?
300
An initial deposit of $2000 is made in a savings account for which the interest is compounded continuously. The balance will triple in 20 years. What is the annual rate of interest for this account?
What is r = 0.055?
400
The graph of 2-x+1+3 is an exponential...?
What is decay?
400
Simplify - leave as an exact answer: log2(1/12)
What is -2-log23
400
ln(7-x)+ln(3x+5)=ln(24x)
What is x = 7/3?
400
Expand (See teacher's screen - slide #3)
What is logx+0.5log(x+2)?
400
An $1000 deposit is made at a bank that pays 12% compounded weekly. How much will you have in your account at the end of 10 years?
What is $3,315.53?
500
The domain of 3log2(x-5)-4 is...?
What is (5,infinity) or x>5?
500
Simplify: 0.5lne32
What is 16?
500
log4x-log4(x-1)=1/2
What is x=2?
500
Condense: 0.5[ln(x+1)+2ln(x-1)]+3lnx
What is (see teacher's screen-slide #4)?
500
If you invested $1000 in an account paying an annual interest rate, r, compounded quarterly, and you wanted to have $2500 in your account at the end of your investment time, what interest rate would you need if the investment time were 10 years?
What is 9.267%?