计算7^lg20乘以(1/2)^lg0.7的值(请利用结论a^lgb=b^lga)

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计算7^lg20乘以(1/2)^lg0.7的值(请利用结论a^lgb=b^lga)计算7^lg20乘以(1/2)^lg0.7的值(请利用结论a^lgb=b^lga)计算7^lg20乘以(1/2)^lg

计算7^lg20乘以(1/2)^lg0.7的值(请利用结论a^lgb=b^lga)
计算7^lg20乘以(1/2)^lg0.7的值(请利用结论a^lgb=b^lga)

计算7^lg20乘以(1/2)^lg0.7的值(请利用结论a^lgb=b^lga)
7^lg20 *(1/2)^lg0.7
=20^(lg7)*(1/2)^lg0.7
=10^lg7 *2^lg7 *(2^(lg(10/7))
=7 *2^(lg7+lg(10/7))
=7*2^lg10
=7*2
=14