If $(3/4)^3(4/3)^{-7}= (3/4)^{2x}$, then x is : Options: A . &nbsp2 B . &nbsp2$1/2$ C . &nbsp5 D . &nbsp- 2

If $(3/4)^3(4/3)^{-7}= (3/4)^{2x}$, then x is :

Question

If $(3/4)^3(4/3)^{-7}= (3/4)^{2x}$, then x is :

Options:

A . 2

B . 2$1/2$

C . 5

D . - 2

Answer: Option A
Answer:(c)$(3/4)^×3(4/3)^{-7}= (3/4)^{2x}$$(3/4)^3×(3/4)^{7}= (3/4)^{2x}$$(3/4)^10=(3/4)^{2x}$2x=10⇒ x=5

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