Exp. & Log. Eqns. - Curriculum

Solving Exponential and Logarithmic Equations

Task

Curriculum expectation:

Solve exponential and simple logarithmic equations in one variable algebraically, including those in problems arising from real-world applications

a) Choose One of the following logarithmic/exponential scales. Research and fill out the chart below.
b) Then, create a product to showcase the information you have collected (video or audio clip, poster, mind map, worksheet or handout, slides presentation, etc.).

Here is an example of a product created for the topic of Apparent Magnitude of Astronomical Objects.

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Topic:	Decibel Level
Whatï¿½isï¿½thisï¿½scaleï¿½usedï¿½for?	The decibel (dB) is a logarithmic unit which is used to measure soundï¿½level on the sound meter. For example it is widely used in electronics,ï¿½signals and for communication.
What is an equation that canï¿½be used to model thisï¿½scenario? Define appropriate variablesï¿½andï¿½identifyï¿½constantï¿½values.	ï¿½
Provideï¿½aï¿½graph.	ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½ ï¿½
Graph the inverseï¿½relationship and provide theï¿½equation.	ï¿½
Give a real life scenario ofï¿½when this scale can be used.ï¿½(Try to find a real example,ï¿½but if you canï¿½t find one, youï¿½can try making up a realisticï¿½example.)	This scale can be used when we are at a concert and the concert is really loud. To measure how loud it is, we can use the sound meter to measure the noise level in the concert.ï¿½
Come up with two mathematical questions about this scale that can be answered using what you have learned about solving logarithmic and exponential equations in this course	Mathematical questions
Extra information about this scale:	ï¿½