If ln x+ln (x-4)=ln (5 x), then x=

Question

Accepted Answer

Step:1 ：First, we need to simplify the equation. According to the properties of logarithms, we can combine the left side of the equation to get (ln (x^2-4x)=ln (5x)).Step:2 ：Next, we can remove the natural logarithm from both sides of the equation to get (x^2-4x=5x).Step:3 ：Then, we rearrange the equation to get (x^2-9x=0).Step:4 ：We can factor the equation to get (x(x-9)=0).Step:5 ：Finally, we solve for x to get (x=0) or (x=9). However, since (x) cannot be 0 in the original equation, the only solution is (x=boxed{9}).

Answer

Step: 1 ：First, we need to simplify the equation. According to the properties of logarithms, we can combine the left side of the equation to get (ln (x^2-4x)=ln (5x)).Step: 2 ：Next, we can remove the natural logarithm from both sides of the equation to get (x^2-4x=5x).Step: 3 ：Then, we rearrange the equation to get (x^2-9x=0).Step: 4 ：We can factor the equation to get (x(x-9)=0).Step: 5 ：Finally, we solve for x to get (x=0) or (x=9). However, since (x) cannot be 0 in the original equation, the only solution is (x=boxed{9}).

If $\ln x + \ln (x - 4) = \ln (5 x)$ , then $x =$

Answer

Popular Problems

If ln⁡x+ln⁡(x−4)=ln⁡(5x), then x=

Answer

Popular Problems

If $\ln x + \ln (x - 4) = \ln (5 x)$ , then $x =$