已知log(a)(2)=m,log(a)(3)=n.则a^(2m+n)的值为多少?
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已知log(a)(2)=m,log(a)(3)=n.则a^(2m+n)的值为多少?
![已知log(a)(2)=m,log(a)(3)=n.则a^(2m+n)的值为多少?](/uploads/image/z/19121045-5-5.jpg?t=%E5%B7%B2%E7%9F%A5log%28a%29%282%29%3Dm%2Clog%28a%29%283%29%3Dn.%E5%88%99a%5E%282m%2Bn%29%E7%9A%84%E5%80%BC%E4%B8%BA%E5%A4%9A%E5%B0%91%3F)
log(a)(2)=m得a^m=2,a^2m=2^2=4;
log(a)(3)=n得a^n=3
由指数运算可加性得(a^2m)*(a^n)=a^(2m+n)=12
log(a)(3)=n得a^n=3
由指数运算可加性得(a^2m)*(a^n)=a^(2m+n)=12
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