Evaluate the following: i. log 2 81/log 2 9

Question

1. Evaluate the following: 

i. \(\cfrac{log_2\,81}{log_2\,9}\) 

ii. \(\cfrac{log_2\,5}{log_2 \,11}\) - \(\cfrac{log_4\,5}{log_4\,11}\)

iii.\(\cfrac{log_4\,7}{log_4 \,5}\) \(\times\)\(\cfrac{log_9\,5}{log_9\,7}\)

iv. \(log_{25}\sqrt{5}\times log_3\left(\cfrac{1}{9}\right)\).

Answer 1

i.

 

= \(\cfrac{2\,log_2 9}{log_2\,9}\)

= 2

ii. 

iii.

iv.