Question

# If ( 5^{n+2}=625, ) then find ( sqrt[3]{n+727} )

Solution

( quad 5^{n+2}=625 )

( Rightarrow quad 5^{n}(25)=625 )

( Rightarrow quad 5^{n}=25 quad Rightarrow n=2 )

( quad sqrt[3]{n+727} )

( =(729)^{1 / 3} )

( =9 )