Convert this log statement to exponential form:
Log2 32 = 5
What is 2^5 = 32
100
The base of f(x)=a^x
What is "a"?
100
4^x=64
What is 3?
100
log (4x-3) = log 19
What is 11/2 or 5.5?
100
Meredith buys a car for $25,000. The car depreciates at a rate of 6.75%. How much is the car worth after 2 years? Use the formula y=a(1-r)^t
What is $21,738.91?
200
Convert this to logarithmic form:
4^5=1024
What is log (base 4) 1024 = 5
200
Evaluate log (base 4) 9
What is 1.585
200
3^x = 21
What is 2.771
200
ln (x+19)= ln (7x-8)
What is 4.5?
200
Evaluate the function f(x)= 6.1^(x) if x=2.4
What is 76.699?
300
Convert to exponential form:
log (base 3) 81 = 4
What is 3^4 = 81
300
log (base 8) 8^5
What is 5?
300
7=2^(3x)
What is 0.936
300
log (base 3) 2x-5 = 2
What is 7?
300
Describe the shifts to get from f(x) to g(x) if f(x)=4^(x) and g(x)= 4^(x-1)-3.
What is the graph shifted 3 units down and 1 unit right?
400
Write the exponential function as a logarithmic function. 2^(4)=16.
What is log (base 2) 16=4?
400
log (base 1/6) 216
What is -3?
400
2^(x+4)=5^(x-1)
What is 4.782
400
What is the domain of y=log (base 3) x?
x>0
400
Emily purchases a new car for $15,000. Each year the value of the car depreciates by 30% of its value the previous year. In how many years will the car be worth $500?
What is 3.08 years?
500
Write the logarithmic function as an exponential function. log 1000=3
What is 10^(3)=1000
500
log (base e) 10
What is 2.303
500
7^(x/2)=5^(1-x)
Answer as 3 d.p
What is 0.623
500
List 3 real world applications of logs
What are measuring earthquakes, measuring sound, measuring pH?
500
Mrs. Ralph deposits $2000 in a bank account. She earns 3.25 % compounded continuously. How much money does she have after 7 years?