Question 1

If $$\log_4m + \log_4n = \log_2(m + n)$$ where m and n are positive real numbers, then which of the following must be true?

Solution

$$\log_4mn=\log_2(m+n)$$ย 

$$\sqrt{\ mn}=(m+n)$$

Squarring on both sides

$$m^2+n^2+mn\ =\ 0$$

Since m, n are positive real numbers, no value of m and n satisfy the above equations.

Video Solution

video

Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 15 XAT previous papers with solutions PDF
  • XAT Trial Classes for FREE

    cracku

    Boost your Prep!

    Download App