log4(sin3π/4)+log9[tan(-5π/6)]的值是多少
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log4(sin3π/4)+log9[tan(-5π/6)]的值是多少
log4(sin3π/4) + log9[tan(-5π/6)]
=log4 (√2/2) + log9 [-tan(5π/6)]
=log4 (√2/2) + log9 [-(-√3/3)]
=log4 (√2/2) + log9 (√3/3)
=log(2^2) [2^(-1/2)] + log(3^2) [(3)^(-1/2)]
=[(-1/2)/2]log2 2 + [(-1/2)/2]log3 3
=-1/4 - 1/4
=-1/2
=log4 (√2/2) + log9 [-tan(5π/6)]
=log4 (√2/2) + log9 [-(-√3/3)]
=log4 (√2/2) + log9 (√3/3)
=log(2^2) [2^(-1/2)] + log(3^2) [(3)^(-1/2)]
=[(-1/2)/2]log2 2 + [(-1/2)/2]log3 3
=-1/4 - 1/4
=-1/2
2^log4(2-√3) + 3^log9(2+√3)的值是多少啊?`
2^log4(2-√3) + 3^log9(2+√3)的值是多少啊?
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