What is x in 3(x-4,5)^5=80 ?

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

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

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