Question

# Find the value of ( x, ) if ( sqrt[3]{4 x-7}=5 )

Solution

( begin{aligned} sqrt[3]{4 x-7} &=5 Rightarrow(4 x-7)^{4 / 3}=5 Rightarrow & 4 x-7=(5)^{3} Rightarrow 4 x-7=125 Rightarrow & 4 x=132 quad Rightarrow x=33 end{aligned} )