Goals Evaluate and graph log functions. 1Algebra 2 Honors.

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1) Solve: log 27 x=-2/3 2) Write in logarithmic form: 49 1/2 = 7 3) Graph y = -2(3) -x 1)x= 27 -2/3 x = 2) ½ = log ) = -2(1/3) x.

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Presentation transcript:

Goals Evaluate and graph log functions. 1Algebra 2 Honors

Click for examples 2Algebra 2 Honors

Click for examples The base is always the base. 3Algebra 2 Honors

Click for examples The base is always the base. 4Algebra 2 Honors

Click for examples The base is always the base. 5Algebra 2 Honors

Click for examples 6Algebra 2 Honors

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To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for a Click for b 9Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for a Click for b 10Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for a Click for b 11Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for b 12Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for b 13Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for cClick for d 14Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for c Click for d 15Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for c Click for d 16Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for d 17Algebra 2 Honors

To help you find the value of log b y, ask yourself b to the power of what gives you y ? Click for d 18Algebra 2 Honors

Algebra 2 Honors

20Algebra 2 Honors

If the base is not indicated then it is assumed to be base 10. Natural logs always use base e. It does not have to be indicated. a b Algebra 2 Honors

In order to find the inverse of a log you must first convert it to exponent form. Rewrite as an exponent Switch x and y Solve for y Rewrite as an exponent Switch x and y Solve for y 22Algebra 2 Honors Recall in order to find the inverse you must switch x and y then solve for y.

23Algebra 2 Honors

x10 4xx 24Algebra 2 Honors

Page 490 ( 17-63)odd 25Algebra 2 Honors