Question

Solve for x. log(2x+1)+ log 5= log (x +6)​

Answer 1

x =
`(1)/(9)`

Explanation:

using the rules of logarithms

• log a + log b = log(ab)

• log a = log b ⇒ a = b

given

log(2x + 1) + log5 = log(x + 6) ← applying rule to left side

log5(2x + 1) = log(x + 6) , then

5(2x + 1) = x + 6

10x + 5 = x + 6 ( subtract x from both sides )

9x + 5 = 6 ( subtract 5 from both sides )

9x = 1 ( divide both sides by 9 )

x =
`(1)/(9)`