January of 2016 (Pre-Calculus 5.0)
1/4/16
Write each expression as a single logarithm.
1) log3 6  log3 27  log3 18
2) 3ln a  5ln b  6ln c
1/5/16
Expand each logarithm. Simplify if possible.
 16 x5 y 4 
1) log 2 

3
 z

 e5 
2) ln  
 32 
1/6/16
Solve for x.
 x  5
3
 2 x 13
 81
x
1
5
   16
2
2
x 3  100
1/7/16
Solve each equation for x (Round to nearest hundredth).
1) log x 6 
2
5
2) log  3 x  7  
3
5
3) 67  2 x  39
4) x  1  log5 21
5) log3 x  log3  x  24  4
6) log3  24  2 x   5  log3 2
Evaluate each logarithmic expression to the nearest hundredth.
1) 3log x 4  4log x 3  2log x 6  2
2) log4  x  1  log 4  x  2   2
3) log3  2 x 1  log3 2  5log3 3
1/8/16
Graph and plot the asymptote and three reference points.
1
f  x   
4
f  x   3x2  2
x2
1
y
y
x
x
1/11/16
Find the next three terms using the pattern.
1) 1, 3, 9, 27, ___, ___, ___
2) -3, -6, -12, -24, ___, ___, ___
3) -13, -19, -25, ___, ___, ___
4) 1, 4, 9, 16, ___, ___, ___
1/12/16 NO Bell-Work due to Test.
1/13/16
List the first 5 terms of the given sequence and find sum of the terms.
an   2   3
n
an  3n  4
1/14/16
1). List the first 5 terms of the given recursive sequence.
a1  15
ak 1  2ak  5
2). Find the sum of the given series.
4
n
2
 2n  1
n 1
1). List the first 5 terms of the given sequence.
a1  20 ak  2ak 1  3
2). Find the sum of the given series.
4
3
2
n
 n
n 0
Write an expression for the apparent nth term of each sequence.
7,
-3, 4, 11, 18 …
21 63
,
, ...
5 25
1/15/16
List the first 5 terms of the given arithmetic sequence then find the 14th term value
a1  3, d 
1)
1
4
2)
a
14
 ? .
a9  25, d  3
1/19/16
Find the missing term of the given arithmetic sequence and sum of the
sequence up to highest term.
1)
a1  15, a2  8, a64 
2)
a16  28, a54  85, a35 
1/20/16
Find the partial sum of the given series.
15
1)
-8, -20, -32, -44, … (n = 23)
2)
 2n  3
n 5
1/21/16
Find the missing term of the given geometric sequence.
1)
2
a1  4, r   , a7 
5
2) a3  27, a6  729, r  __, a12  __
1/22/16
1. Solve  x  2  x  6   0 in interval notation.
2
2. Solve for x: e 0.0097 x  12 .
1/25/16 Snow Day
1/26/16
 x 3 y2 
1. Write as a sum or difference of logarithms: log b 
.
 w 
f ( x) 
2. Find the whole:
x5
 x  2  x  5 
1/28/16 NO Bell Work due to Midterm Exam
1/29/16
Find the partial sum of the given series.
28
1)
-5+2+9+ … +317
2)
 5n  17
n 6

3)
1+5+25+ … (n=9)
4)
 2n  3
n 1