Graphs
The graph of y=5x+4 has an asymptote at...
What is y=4?
log41024=x
What is x=5?
7-2ex = 4. Give both the exact and approximate answers.
What is x=ln(3/2)=0.406?
Expand: log (8x2y)
What is log(8)+2log(x)+log(y)?
Find the annual percent increase that A=.5(3.99)t models. (Hint: find r)
What is 299%?
The domain of all exponential functions is...
What is "all real numbers"?
Solve without a calculator:
4x+5=643x
What is x=5/8?
Solve: ln(2x+5) = 0
What is x=-2?
Condense: 4logx+logy-1/2logz
What is log[x4y/√z]
The population of a city is decreasing at a rate of 2.4% each year. If the city originally had 625,000 people in 2003, how many people were in the start of 2019?
What is about 423718 or 423719 people?
The graph of log2(x-5)=y has an asymptote at...
What is x=5?
Simplify: ln(e)+log(10)
What is 2?
Solve: log3(x2-5x+6)=log3(2x+24)
What is x=9 and x=-2?
Condense: 2logx-5logy-(1/3)logz
What is log[x2/(y5 3√z]?
An initial deposit of $2000 is made in a savings account for which the interest is compounded continuously at a rate of 3%. How long will it take for the balance to double?
What is the 24th year?
The graph of 2-x+3 is an exponential growth or decay?
What is decay?
Evaluate without a calculator:
216x=362x-1
What is x=2?
Solve: log8(x)=1/3+log8(2x-1)
What is x = 2/3?
Expand: log(x√(x+2)
What is logx+1/2log(x+2)?
An deposit is made at a bank that pays 12% compounded weekly. In 10 years you have $3,315.53 in your account. How much money did you initially deposit in the bank?
What is $1000?
The domain of log2(x-5)=y is...?
What is (5,infinity) or x>5?
Solve: 10log(2x-1)=17
What is x=9?
6x=65x+5. Give both the exact and approximate answer.
What is 5log(65)/log(6/65)= -8.76?
Condense: 1/2[ln(x4)+2ln(x-1)]+3ln(x)
What is ln[x5(x-1)] or ln[x6-x5]?
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%?