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Given the exponential equation:, find a common base and solve for x.

0 votes

Given the exponential equation:image, find a common base and solve for x.

asked May 13, 2014 in PRECALCULUS by bilqis Pupil

1 Answer

0 votes

The exponential equation is image

From the exponent properties image

image

Rewrite 32 as image

image

image

image

image

Common bases on each side.

The only way for these powers of 2 to be equal is if the exponents themselves are equal.

So image

image

image

image

Solution image

answered May 13, 2014 by david Expert
edited May 13, 2014 by david

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