What is x if #ln(3x^2) + ln(x^4) + ln(7) =0#?
2 Answers
Use the logarithm laws.
#ln(3x^2 * x^4 * 7) = 0#
#21x^6 = e^0#
#x^6 = 1/21#
#x = +-root(6)(1/21)#
Hopefully this helps!
The solutions are
(or
Explanation:
Use this logarithm rule:
Here's this rule applied to our equation:
Convert to exponential form:
Since the root is an even power, we add a plus-or-minus sign:
You can check using a graphing calculator:
Since the values of the zeroes are the same as our answer, we are correct. Hope this helped!