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May 04, 2015
Problem Set April 6th 1. 2. Problem Set ­ April 8th 1. Evaluate the following log expression: (Hint: Take it term by term ­ you cannot use the rules of logarithms because the bases are not the same)
2. Convert into exponential form: (Hint ­ you do this by condensing the logarithms first, then rewriting in exponential form). log(x ­ 1) ­ 3log(x2) = y
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Untitled.notebook
May 04, 2015
Problem Set ­ April 13th 1. Graph f(x) = log3x. Show an appropriate table of values. What is the domain? What is the range? Where is the asymptote? What would be the difference(s) between the graph of f(x) and g(x) = log3 (x ­ 2)? What is the domain? What is the range? What would be the difference(s)
Where is the asymptote?
between the graph of f(x) and h(x) = log3 (x) + 1.
What is the domain? What is the range? Where is the asymptote? 2
Untitled.notebook
May 04, 2015
2. State the domain, range and x­intercept for each of the following:
b. g(x) = log9(x ­ 2)
a. f(x) = log5(x + 7)
c. h(x) = log4(x ­ 3) + 1 d. y = log2(x + 6) ­ 2
e. h(x) = log7(x ­ 4) ­ 3 Problem Set ­ April 14th ­ Graph f(x) = log1/2x. Show an appropriate table of values. What is the domain? What is the range? Where is the asymptote? What would be the difference(s) between the graph of f(x) and g(x) = 2log1/2x? What would be the difference(s) between f(x) and h(x) = ­ log1/2x.
Problem Set ­ April 15th
Find the domain. 1. 2. If log a = 4 and log b = 3, find the value of each of the following:
a. loga2b
b. log b4 √a
Problem Set ­ April 16th Solve for x.
Problem Set ­ April 20th 1. Solve each equation for all value(s) of x:
a.) log (x + 2) – log 2x = ‐log 4 + log (x ‐ 1) 3
Untitled.notebook
May 04, 2015
Problem Set ­ April 21st 1. If and
find the numerical value of in simplest form. Problem Set April 22nd
1. If the f(x) = ex and g(x) = ln x, what is ?
2. Evaluate the following expression:
logb b2 + ln e – 4log3 9 + (1/2)log 100 – 4ln 1 + log4 32 ‐ ln (1/e3) April 24th Problem Set
Graph f(x) = log3(x + 4) ­ 2
State the domain, range and x­intercept. 4