If 14x = ^13√14, what value of x makes this equation true?
![If 14x 1314 what value of x makes this equation true class=](https://us-static.z-dn.net/files/d85/9888573e0671658d7f77b6c1b860ab20.png)
The value of x is 1/13 (4th choice)
Step-by-step explanation:
[tex] {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } [/tex]
If 14^x = ¹³√14, what value of x makes this equation true?
[tex] \sqrt[13]{14} = {14}^{x} \\ \sqrt[13]{14} = {14}^{ \frac{1}{13} } [/tex]
So, the value of x is 1/13 (4th choice)
Hope it helpful and useful :)