(4/5)3 x (4/5)-6 = (4/5)2x-1 x = .....................A) – 1 B) 2

1.	(4/5)3 x (4/5)-6 = (4/5)2x-1 x = .....................A) – 1 B) 2 C) 1 D) 4
Answer» Correct option is (A) –1 \((\frac{4}{5})^3\times(\frac{4}{5})^{-6}=(\frac{4}{5})^{2x-1}\) \(\Rightarrow\) \((\frac{4}{5})^{3+(-6)}=(\frac{4}{5})^{2x-1}\) \(\Rightarrow\) \((\frac{4}{5})^{3-6}=(\frac{4}{5})^{2x-1}\) \(\Rightarrow\) \((\frac{4}{5})^{2x-1}=(\frac{4}{5})^{-3}\) \(\therefore\) 2x - 1 = -3 \(\Rightarrow\) \(x=\frac{-3+1}2=\frac{-2}2=-1\) Correct option is A) – 1

(4/5)3 x (4/5)-6 = (4/5)2x-1 x = .....................A) – 1 B) 2 C) 1 D) 4

Answer»

Correct option is (A) –1

\((\frac{4}{5})^3\times(\frac{4}{5})^{-6}=(\frac{4}{5})^{2x-1}\)

\(\Rightarrow\) \((\frac{4}{5})^{3+(-6)}=(\frac{4}{5})^{2x-1}\)

\(\Rightarrow\) \((\frac{4}{5})^{3-6}=(\frac{4}{5})^{2x-1}\)

\(\Rightarrow\) \((\frac{4}{5})^{2x-1}=(\frac{4}{5})^{-3}\)

\(\therefore\) 2x - 1 = -3

\(\Rightarrow\) \(x=\frac{-3+1}2=\frac{-2}2=-1\)

Correct option is A) – 1