Question

express log (26/51)-log (91/119) in terms of log 2​

Answer 1

The complete question is,

Express log (26/51) - log (91/119) in terms of log 2​ and log 3.

Given:

log (26/51) - log (91/119)

To find:

Express log (26/51) - log (91/119) in terms of log 2​

Solution:

From given, we have a logarithmic equation,

log (26/51) - log (91/119)

using the log properties, we get,

= log (26/51 ÷ 91/119)

= log [ (26 × 119) / (51 × 91) ]

=  log 3094 / 4641

= log  2/3

= log 2 - log 3

Hence the expression.