Answer:
x= 1000
Step-by-step explanation:
We are given the equation ∛x-6=4 and we have to solve the equation for x.
Now, ∛x-6=4 ....... (1)
⇒ ∛x =6+4 {Taking all the constant terms to the right hand side.}
⇒ [tex]x^{\frac{1}{3} }[/tex] =10 {Since, ∛x can also be represented by the symbol [tex]x^{\frac{1}{3} }[/tex] }
⇒ x = 10³ {We have applied the formula of indices that if [tex]x^{\frac{1}{3} }= a,[/tex], then x =a³}
⇒ x= 1000. (Answer)
Now, if we put x =1000 in the equation (1), the we will get Left Hand Side =Right Hand Side. =4 (Answer)
