please give the full explanation and the answer is log10(12)
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Step-by-step explanation:
= 2+ 1/2 log(10)9 - 2log(10)5
= log(10)10² + log(10)9½ - log(10)5²
= log(10)(100) + log(10)3 - log(10)25
= log(10) ( 100*3/25)
= log(10)(4*3)
= log(10)12
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