1. Tardigrade
  2. Question
  3. Mathematics
  4. If log7 2 = λ, then the value of log49 (28) is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $\log_{7} \,2 = λ$, then the value of $\log_{49}\, \left(28\right)$ is

WBJEEWBJEE 2011

Solution:

Given, $\log _{7} 2=\lambda$
$\therefore \log _{49}(28) =\log _{7^{2}}\left(2^{2} \times 7\right) $
$=\frac{1}{2}\left[2 \log _{7} 2+\log _{7} 7\right] $
$=\frac{1}{2}(2 \lambda+1) $