Question

3 в степени log9(5x-5) равно 5

Answer 1

$3^{log_9 (5x-5)}=5;\ 5x-5>0; x>1;\ 3^{log_{3^2} (5x-5)}=5;\ 3^{frac{1}{2}log_3 (5x-5)}=5;\ 3^{log_3 sqrt{5x-5}}=5;\ sqrt{5x-5}=5;\ 5x-5=5^2;\ 5x-5=25;\ x-1=5;\ x=5+1;\ x=6;$