Question

Log expression and simplifyIn(xy) + In(4z) + ln(3x²)

Answer 1

`\log _cab=\log _ca+\log _cb`
`\ln (xy)+\ln (4z)=\ln (4xyz)`
`=\ln (xy4z)+\ln (3x^2)`
`\text{Applying log rule}\colon`
`\log _cab=\log _ca+\log _cb`
`\ln (4xyz)+ln(3x^2)=\ln (4\cdot3x^2xyz\text{)}=\ln (4\cdot3x^2xyz)`
`-->`
`\text{Simplify xy}\cdot4z\cdot3x^2\colon12x^3yz`
`ANSWER-->ln(12x^3yz\text{)}`