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What is the simplified base of the function #f(x) = 1/4root3 108^x#?

1 Answer

Jul 14, 2018

#f(x)=3^x#

Explanation:

#f(x)=1/4 root3(108^x)#

#:.f(x)=1/4*(108^x)^(1/3)#

#:.f(x)=1/4*108^(x/3)#

#:.f(x)=27^(x/3)#

#:.f(x)=(3^3)^(x/3)#

#:.f(x)=3^x#

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