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;" alt="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;" align="absmiddle" class="latex-formula">