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Logs Regents Questions
Algebra 2
Logs Regents Questions
2009 – Fall Sampler
1. The expression log864 is equivalent to
(1) 8
(2) 2
(3)
(4)
2. If a function is defined by the equation f(x) = 4x, sketch the graph of the inverse of this function.
3. What is the solution of the equation 2log4(5x) = 3?
(1) 6.4
(2) 2.56
(3)
(4)
June 2010
1. The expression 2log x – (3log y + log z) is equivalent to
(1)
(2)
(3)
(4)
(3)
(4) -2
August 2010
1. Solve algebraically for x:
January 2011
1. The expression
(1)
is equivalent to
(2) 2
2. The temperature T, of a given cup of hot chocolate after it has been cooling for t minutes can be best
modeled by the function below, where T0 is the temperature of the room and k is a constant.
A cup of hot chocolate is placed in a room that has a temperature of 68o. After 3 minutes, the
temperature of the hot chocolate is now 150o. Compute the value of k to the nearest hundredth. [Only
an algebraic solution can receive full credit.]
Using this value of k, find the temperature, T of this cup of hot chocolate that has been sitting in this
room for a total of 10 minutes. Express our answer to the nearest degree. [Only an algebraic solution
can receive full credit.]
June 2011
1. What is the value of x in the equation log5x = 4?
(1) 1.16
(2) 20
(3) 625
(4) 1024
2. Akeem invests $25,000 in an account that pays 4.75% annual interest compounded continuously.
Using the formula A = Pert, where A = the amount in the account after t years, P = principal invested, and
r = the annual interest rate, how many years, to the nearest tenth, will it take for Akeem’s investment to
triple?
(1) 10.0
3. If
(2) 14.6
(3) 23.1
, then log r can be represented by
(1)
(3)
(2)
(4)
(4) 24.0
January 2012
1. A population of rabbits doubles every 60 days according to the formula
population of rabbits on day t. What is the value of t when the population is 320?
(1) 240
3. If log4x = 2.5 and
(2) 300
(3) 660
(4) 960
, find the numerical value of , in simplest form.
June 2012
1. If
, then the value of x is
(1)
(2)
2. Which graph represents the function log2x = y?
(3) p3t2
, where P is the
(4)