Помогите решить 3 в степени log9(5x-5) = 5. Created by Dampi210. algebra-ru

Помогите решить 3 в степени log9(5x-5) = 5...

Dampi210 @Dampi210

July 2022 1 14 Report

Помогите решить

3 в степени log9(5x-5) = 5

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dtnth

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$3^{log_9 (5x-5)}=5;\\\\5x-5>0;5x>5;x>1;\\\\3^{\frac{1}{2}log_3 (5x-5)}=5;\\\\3^{log_3 \sqrt{5x-5}}=5;\\\\\sqrt{5x-5}=5;\\\\5x-5=5^2;\\\\x-1=5;\\\\x=5+1;\\\\x=6;$

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