#1**+5 **

3*(x-4.5)^{5} = 80

Divide both sides by 3

(x - 4.5)^{5} = 80/3

Take the fifth root of both sides

x - 4.5 = (80/3)^{1/5}

Add 4.5 to both sides

$${\mathtt{x}} = {\left({\frac{{\mathtt{80}}}{{\mathtt{3}}}}\right)}^{\left({\frac{{\mathtt{1}}}{{\mathtt{5}}}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{4.5}} \Rightarrow {\mathtt{x}} = {\mathtt{6.428\: \!385\: \!008\: \!005\: \!254\: \!5}}$$

.

Alan
Jun 17, 2015

#1**+5 **

Best Answer

3*(x-4.5)^{5} = 80

Divide both sides by 3

(x - 4.5)^{5} = 80/3

Take the fifth root of both sides

x - 4.5 = (80/3)^{1/5}

Add 4.5 to both sides

$${\mathtt{x}} = {\left({\frac{{\mathtt{80}}}{{\mathtt{3}}}}\right)}^{\left({\frac{{\mathtt{1}}}{{\mathtt{5}}}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{4.5}} \Rightarrow {\mathtt{x}} = {\mathtt{6.428\: \!385\: \!008\: \!005\: \!254\: \!5}}$$

.

Alan
Jun 17, 2015