高一對數 急求過程?

2015-12-14 12:54 pm
更新1:

http://imgur.com/TGXsI97 http://imgur.com/qxUjPs1

更新2:

以上兩道題目

回答 (1)

2015-12-14 1:35 pm
✔ 最佳答案
4^(-2log₄2) + 9^(log₃1/2) - 5^(log_1/25_ 4) + 9^(log₃2)
= 4^(log₄2⁻²) + 3^(log₃1/2²) - [(1/25)^(-1/2)]^(log_1/25_ 4) + 3^(log₃2²)
= 2⁻² + 1/2² - 4^(-1/2) + 2²
= 1/4 + 1/4 - 1/2 + 4
= 4

10^log(log25) × 10^log(1 + log4/log25)
= log25 × (1 + log4/log25)
= log25 + log4
= log (25×4)
= log100
= 2


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