4log√5 + 3log2 - (1/4)log10000 =?

প্রশ্ন: 4log√5 + 3log2 - (1/4)log10000 =?

সমাধান:
4log√5 + 3log2 - (1/4)log10000
= log(√5)⁴ + 3log2 - (1/4)log10⁴
= log5² + 3log2 - (4/4) log10
= 2log5 + 3log2 - log10
= 2log5 + 3log2 - log (2 × 5)
= 2log5 + 3log2 - log2 - log5
= log5 + 2log2
= log5 + log2²
= log(5 × 4)
= log20