Question

domain and range of f(x)=log5(x^3) step by step

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Cristian

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103 Answers

1. Consider the function: f(x) = \log_5(x^3)

2. To determine the domain, we need the argument of the logarithm to be greater than zero: x^3 > 0

3. Since x^3 > 0 when x > 0 , the domain is: \text{Dominio: } x > 0

4. To determine the range, note that the function f(x) = \log_5(x^3) can take any real number value because as x^3 ranges over positive real numbers, \log_5(x^3) ranges over all real numbers.

5. Therefore, the range is: \text{Rango: } (-\infty, \infty)

**Answer:**

\text{Dominio: } x > 0

\text{Rango: } (-\infty, \infty)

2. To determine the domain, we need the argument of the logarithm to be greater than zero:

3. Since

4. To determine the range, note that the function

5. Therefore, the range is:

**Answer:**

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