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Find the value of x if (5 / 7)6 (7 / 5)-9 = (5 / 7)3x.

(5 / 7)6 (7 / 5)-9 = (5 / 7)3x \(\begin{array}{l}\Rightarrow\left(\frac{5}{7}\right)^{6} \times\left(\frac{5}{7}\right)^{9}=\left(\frac{5}{7}\right)^{3 x} \\ \Rightarrow\left(\frac{5}{7}\right)^{6+9}=\left(\frac{5}{7}\right)^{3 x} \\ \Rightarrow\left(\frac{5}{7}\right)^{15}=\left(\frac{5}{7}\right)^{3 x}\\ \Rightarrow... View Article

Is Bhavana five years old? (I) Kalpana is seven years old and is younger than Bhavana. (II) Bhavana is two years older than Ramesh, who is six years old. A) Statement (I) alone is sufficient, but statement (II) alone is not sufficient. B) Statement (II) alone is sufficient, but statement (I) alone is not sufficient. C) Both statements together are sufficient, but neither statement alone is sufficient. D) Each statement alone is sufficient.

(I) Kalpana is seven years old and is younger than Bhavana. ⇒ Kalpana = 7 years < Bhavana⇒ Bhavana ≠... View Article

What Is DC Motor?

A DC motor is an electrical machine that converts electrical energy into mechanical energy. In a DC motor, the input... View Article