Question

Ln(x^a)=a+ln x
a-true
b-false

Answer 1

The equation a + ln(xa) = true or false can be evaluated using the properties of logarithms.

Step-by-step explanation:

The given statement ln(x^a) = a + ln(xa) can be evaluated as follows:

1. Using the property ln(x^a) = a * ln(x), the equation becomes:
2. ln(x^a) = a * ln(x)
3. Finding the natural logarithm of both sides:
4. a * ln(x) = a * ln(x) + ln(xa)
5. Subtracting a * ln(x) from both sides:
6. 0 = ln(xa)
7. Since ln(xa) does not equal 0 for any nonzero value of x and a, the equation a + ln(xa) = 0 is false.