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Question
Answer the following:
Simplify `log_10 28/45 - log_10 35/324 + log_10 325/432 - log_10 13/15`
Solution
`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.
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