202k views
1 vote
What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

User Drchuck
by
9.0k points

2 Answers

4 votes

Answer:

x = 7

Explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

User BojanT
by
8.0k points
1 vote

Answer:

x = 7

Explanation:

Using the rules of logarithms

log x - log y = log (
(x)/(y) )


log_(b) x = n ⇒ x =
b^(n)

Given

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

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


(x+6)/(2x-1) =
e^(0) = 1 , then

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

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

x = 7

User Papoose
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories