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2^x= 8^1/4

 08.06.2015

Beste Antwort 

 #1
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8 = 2³


$${{\mathtt{2}}}^{{\mathtt{x}}} = {\left({{\mathtt{2}}}^{{\mathtt{3}}}\right)}^{\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right)}$$       =>      $${{\mathtt{2}}}^{{\mathtt{x}}} = {{\mathtt{2}}}^{\left({\frac{{\mathtt{3}}}{{\mathtt{4}}}}\right)}$$         =>        x = $${\frac{{\mathtt{3}}}{{\mathtt{4}}}}$$ 

 08.06.2015
 #1
avatar+14537 
+3
Beste Antwort

8 = 2³


$${{\mathtt{2}}}^{{\mathtt{x}}} = {\left({{\mathtt{2}}}^{{\mathtt{3}}}\right)}^{\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right)}$$       =>      $${{\mathtt{2}}}^{{\mathtt{x}}} = {{\mathtt{2}}}^{\left({\frac{{\mathtt{3}}}{{\mathtt{4}}}}\right)}$$         =>        x = $${\frac{{\mathtt{3}}}{{\mathtt{4}}}}$$ 

radix 08.06.2015

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