Solve the following logarithmic equation.In (x+5) + In (x-2) = 2 In x. Simplofy your answer. Type an integer or a fraction. Use a comma to separate answers as needed.

Question

anonymous · Answer

you know how the log addition works right?

anonymous · Answer

use ln(a) +ln(b) = ln(ab)

anonymous · Answer

and that ln(x) is defined only on x>0

anonymous · Answer

x=10/3. Do I need to detail the solution?

anonymous · Answer

Ok, $$\ln (x-5) + \ln(x+2)=\ln(x^2)$$
then$$\ln(x-5) +\ln (x+2)-\ln(x^2)=0$$
$$\ln(((x-5)*(x+2))/(x^2))=0$$
$$x^2+3x-10=e^0*x^2$$
$$3x=10$$
Finally$$x=10/3$$