Question 383246
Take ln of both sides:
(ln6)x = (ln7)(x-5);
(ln6)x = (ln7)x - 5ln7;
5ln7 = (ln7 - ln6)x;
5 ln7 = ln(7/6)*x;
{{{x = (5ln7)/(ln(7/6)) = 63.117}}}, to 3 decimal places.