Question

$3^{-6} / 3^5 = 3^{2x}$

Answer 1

Answer:

hope it will help you dear

Answer 2

To find : the value of $x$  

Given : $\frac{3^{-6} }{3^{5} } = 3^{2x}$

Solution :

• Quotient law : this law states that while dividing expression if base are same then their powers are subtracted keeping the base same .i.e. $\frac{a^{m}}{a^{n}}=a^{m-n}$ .
• Therefore , according to above rule we will solve LHS of the given expression.
• LHS : $\frac{3^{-6} }{3^{5} } = 3^{(-6-5)}$

                        $= 3^{-11}$

• Substituting the value of LHS in the given expression we find , value of $x$.
• $3^{-11} =3^{2x}$
• Now , equating values of powers of both sides since bases are same .
• Therefore , $-11 = 2x \\x = \frac{-11}{2}$

Hence, value of $x$ is $\frac{-11}{2}$ .