Mathematics, 16.07.2019 10:00 copelandgarret9972
What is the simplified base of the function f(x) = 1/4 (cube root of 108)^x?
Answers: 1
![\rightarrow f(x)=\frac{1}{4}\times [(108)^{\frac{1}{3}}]^x\\\\\rightarrow f(x)=\frac{1}{4}\times [(108)^{\frac{x}{3}}]\\\\\rightarrow f(x)=\frac{1}{4}\times [(3^3 \times 2^2)^{\frac{x}{3}}]\\\\\rightarrow f(x)=\frac{3^x}{2^2}\times [(2)^{\frac{2 x}{3}}]\\\\\rightarrow f(x)=\frac{3^x}{2^{2 -\frac{2 x}{3}}}\\\\\rightarrow f(x)=\frac{1}{4} \times [3\times 2^{\frac{2}{3}}]^x}](/tpl/images/0095/8973/43551.png)
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