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

User Nils Werner
by
2.6k points

2 Answers

19 votes
19 votes

Answer:

x = 7

Explanation:

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

User PeterBelm
by
3.3k points
15 votes
15 votes

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 Karen Tsirunyan
by
2.7k points