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January 30, 2015

January 30, 2015

Posted by **mathemagiacian** on Saturday, August 17, 2013 at 2:41pm.

Give me a clear explanation with the answer. Thanks! :)

- MATH -
**Steve**, Saturday, August 17, 2013 at 3:14pmclearly, x = log

_{81}64 = 1/4 log_{3}64

27^{x+1} = 27*3^3x

= 27*3^(3(1/4 log_{3}64))

= 27*3^(3/4 log_{3}64)

= 27*3^((log_{3}64) * 3/4)

= 27*64^(3/4)

= 27*2^(9/2)

= 27*16√2

= 432√2

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