1. Tardigrade
  2. Question
  3. Mathematics
  4. The solution x of the equation log 4(3 x+7)- log 4(x-5)=2 would lie within which of the given ranges?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The solution $x$ of the equation $\log _4(3 x+7)-\log _4(x-5)=2$ would lie within which of the given ranges?

Continuity and Differentiability

Solution:

$ \log _4(3 x+7)-\log _4(x-5)=2 \Rightarrow \frac{(3 x+7)}{(x-5)}=4^2 \Rightarrow \frac{(3 x+7)}{(x-5)}=16 $
$\Rightarrow 3 x+7=16 x-80 \Rightarrow x=\frac{87}{13}>6$