![\sqrt[3]{a} = {a}^{m} \\ = > { a}^{ \frac{1}{3} } = {a}^{m} \\ = > m = \frac{1}{3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Ba%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%7D%20%20%5C%5C%20%20%3D%20%20%3E%20%20%7B%20a%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%7D%20%20%5C%5C%20%20%3D%20%20%3E%20m%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20)
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Hope you could understand.
If you have any query, feel free to ask.
In this problem, you're looking for the value of t, so that f(t) = 48. That means if you put t into 5t-7, you'll get 48. To do this set up and solve an equation for t by setting 48 equal to 5t-7:

Isolate the variable by adding 7 to both sides.

Divide by 5 on both sides to find t.

The answer is 11.