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

User Shoba
by
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1 Answer

5 votes

Final answer:

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.
User SaiGiridhar
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