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July 23, 2014

July 23, 2014

Posted by **heather** on Monday, July 15, 2013 at 12:41pm.

y=logbase3 2 , rewrite logbase3 60 in terms of x and y.

- MATH -
**Reiny**, Monday, July 15, 2013 at 1:49pmgiven:

x = log_{3}5 ----> 3^x = 5

y = log_{3}2 ----> 3^y = 2

let log_{3}60 = z ---- 3^z = 60

3^z = 60

= (3)(2)(2)(5)

= (3^0)(3^y)(3^y)(3^x)

= 3(1+y+y+x)

= 3^(x+2y+1)

then z = x+2y+1

log_{3}60 = x+2y+1

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