What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ( )

x = n ⇒ x =

Given

ln(x + 6) - ln(2x - 1) = 0

ln ( ) = 0

= = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

1/6

Step-by-step explanation:

total = 12

number of butterscotch = 4

number of mint = 6

Since he replaces the mint, these events are independent events.

p(butterscotch, then mint) = p(butterscotch) * p(mint)

p(event) = (number of desired outcomes)/(total number of outcomes)

p(butterscotch) = 4/12 = 1/3

p(mint) = 6/12 = 1/2

p(butterscotch, then mint) = p(butterscotch) * p(mint)

p(butterscotch, then mint) = 1/3 * 1/2

p(butterscotch, then mint) = 1/6

1/6