Question

Solve: In 2x + In 2 =0

Answer 1

x =
`(1)/(4)`

Explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

•
`log_(b)` = n ⇔ x =
`b^(n)`

Given

ln 2x + ln 2 = 0

ln(2x × 2) = 0

ln 4x = 0

4x =
`e^(0)` = 1 ( divide both sides by 4 )

x =
`(1)/(4)`