Question

What is the true solution to 2 In e^in5x – 2 In 15?

Answer 1

Answer:
`\bold{\ln \bigg((x^2)/(9)\bigg)}`

Explanation:

`2\ln e^(\ln(5x))-2\ln 15\\\\\\= \ln (e^(\ln(5x)))^2-2\ln 15\\\\\\= \ln(5x)^2-ln(15)^2\\\\\\= \ln\bigg(((5x)^2)/((15)^2)\bigg)\\\\\\= \ln\bigg((25x^2)/(225)\bigg)\\\\\\=\large\boxed{\ln \bigg((x^2)/(9)\bigg)}`