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Section 1.4 Logarithmic Functions
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Find x for the following: How about now?
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In the previous example we needed to solve for the input Since exponential functions are 1-1, they have an inverse The inverse of an exponential function is called the logarithm function or the log function In other words
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Now our exponential equation may not always have a base of 10. The general definition of log is Often we will deal with the natural base which gives way to the natural log
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Properties of the common Logarithm
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The Natural Logarithm
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Evaluate
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Example The median house price in the Phoenix area in 2000 was about $120,000. In 2005, the median house price rose to about $250,000. Assuming the growth was exponential, create a model for the median house price as a function of time. –Hint: Use t = 0 to correspond to the year 2000. –According to the model, when will the median house price be $350,000?
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