Помогите с решением. 7^log(7√7)27+log(49)16. Created by 30Hex. algebra-ru

Помогите с решением. 7^log(7√7)27+log(49)16...

30Hex @30Hex

June 2021 1 17 Report

Помогите с решением.

7^log(7√7)27+log(49)16

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mukus13

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$7^{ log_{7 \sqrt{7} }27+ log_{49} 16 } =7^{ log_{ 7^{ \frac{3}{2}} }27+ log_{49} 16 } =7^{ \frac{2}{3} log_{ 7 }27+ log_{49} 16 } =$ $7^{ log_{ 7 }9+ \frac{1}{2} log_{7} 16 } =7^{ log_{ 7 }9+ log_{7} 4 } = 7^{ log_{7}36 } =36$

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