log7(3x-8)=2
![image](https://tex.z-dn.net/?f=%5Cleft+%5C%7B+%7B%7B+7%5E%7B2%7D+%3D+3x-8+%7D+%5Catop+%7B3x-8%3E0%7D%7D+%5Cright.++%3D%3E+%5Cleft+%5C%7B+%7B%7B3x%3D49%2B8%7D+%5Catop+%7B3x%3E8%7D%7D+%5Cright.++%3D%3E+%5Cleft+%5C%7B+%7B%7Bx%3D57%2F3+%7D+%5Catop+%7Bx%3E8%2F3%7D%7D+%5Cright.++)
0}} \right. => \left \{ {{3x=49+8} \atop {3x>8}} \right. => \left \{ {{x=57/3 } \atop {x>8/3}} \right. " alt="\left \{ {{ 7^{2} = 3x-8 } \atop {3x-8>0}} \right. => \left \{ {{3x=49+8} \atop {3x>8}} \right. => \left \{ {{x=57/3 } \atop {x>8/3}} \right. " align="absmiddle" class="latex-formula">
x= 19
Ответ: 19.