Cupcaketiaidn
Answered

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Konrad509idn
[tex]y=a\cdot b^x\quad,\quad b>0[/tex]

a)
[tex]128=2 b^3\\ b^3=64\\ b=4\\\\ y=2\cdot4^x[/tex]


b)
[tex]4=a\cdot b^0\\ 1=a\cdot b^2\\\\ a=4\\ 1=a\cdot b^2\\\\ 1=4\cdot b^2\\ b^2=\dfrac{1}{4}\\ b=\dfrac{1}{2} \vee b=-\dfrac{1}{2}\\ -\dfrac{1}{2}<0 \Rightarrow b=\dfrac{1}{2}\\\\ y=4\cdot \left(\dfrac{1}{2}\right)^x [/tex]

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