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Rewrite the exponential equation in logarithmic form:

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Rewrite the exponential equation in logarithmic form: image

asked Jun 11, 2014 in PRECALCULUS by bilqis Pupil

2 Answers

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The exponential equation is image.

Take logarith on each side.

image

Apply power property of logarithm :  .

image

image

Apply quotient property of logarithm : image.

image

The logarithmic form of the exponential equation is image.

answered Jun 11, 2014 by lilly Expert
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Definition of Logarithmic Function with Base a :

For x > 0, a > 0 and a ≠ 1, image.

The exponential equation is image.

Compare the equation image with exponential form of equation image.

image.

The logarithmic form of equation is image.

answered Jun 11, 2014 by casacop Expert

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