Question

Answer the following:

Simplify `log_10  28/45 - log_10  35/324 + log_10  325/432 - log_10  13/15`

Answer 1

`log_10  28/45 - log_10  35/324 + log_10  325/432 - log_10  13/15`

= `[log_10  (28/45) + log_10 (325/432)] - [log_10 (35/324) + log_10 (13/15)]`

= `log_10  (28/45 xx 325/432) - log_10  (35/324 xx 13/15)`

= `log_10 [(28/45 xx 325/432) divide (35/324 xx 13/15)]`

= `log_10 [28/45 xx 325/432 xx 324/35 xx 15/13]`

= log₁₀5.