rewrite e^x = 9 using a logarithm\nlog_9 x = e\nln 9 = x\nlog_x e = 9\nln x = 9

Explanation:

Step1: Recall the relationship between exponential and logarithmic forms

For (a^b = c) ((a>0,a\neq1)), the equivalent logarithmic form is (\log_a c=b). When (a = e), the natural logarithm (\ln c=b) (since (\log_e c=\ln c)). In the equation (e^x = 9), here (a = e), (b=x), and (c = 9).

Answer:

(\ln 9=x)