CA Ch 5.2.notebook
January 13, 2015
ACT Question: In the standard (x,y) coordinate plane, the graph of (x + 3)2 + (y + 5)2 = 16 is a circle. What is the circumference of the circle, expressed in coordinate units? A) 4π D
B) 5π C) 3π D) 8π E) 25π Ch 5.2: Logarithmic Functions and Their Graphs
Every function must have an inverse...
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CA Ch 5.2.notebook
January 13, 2015
x>0,b>0,b≠1
Write each equation in its equivalent exponential form. Write each equation in its equivalent logarithmic form.
Find the exact value of: The two most common bases are 10 and e. If you see log(x) this has a base of 10. However if you see ln(x) this has a base of e. 2
CA Ch 5.2.notebook
January 13, 2015
Use a calculator to evaluate the common and natural logarithms. Round your answers to four decimal places. How are the graphs of these two related??? 3
CA Ch 5.2.notebook
January 13, 2015
Find the domain of each of the given functions
Transformations can also be preformed with logarithmic functions. 4
CA Ch 5.2.notebook
January 13, 2015
Graph the functions and state the domain and range. Graph the function and state its domain and range. 5
CA Ch 5.2.notebook
January 13, 2015
Models/Applications of Logarithms
Decibel(sound):
I=intensity, IT=intensity threshold(1x10­12)
Richter Scale: M=magnitude, E=energy released, E0=reference quake(104.4joules)
Suppose you have seats to a concert given by your favorite musical artist. Calculate the approximate decibel level associated with the typical sound intensity, given I=1x10­2 W/m2
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CA Ch 5.2.notebook
January 13, 2015
On Oct.17,1989, just moments before game 3 of the World Series between Oakland A's and the San Francisco Giants was about to start­with 60,000 fans in Candlestick Park­a devastating earthquake erupted. Parts of interstates and bridges collapsed, and President George H.W. Bush declared the area a disaster zone. The earthquake released approximately 1.12x1015 joules of energy. Calculate the magnitude of the earthquake using the Richter scale. Suggested Problems: Ch 5.2 pg.507 #'s 1,11,23,29,31,37,39,45,47,53, 55,61,63,67,69,75,83,85,95,97
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