Solve for x : log4(2x + 3) =

Given: log4(2x + 3) = ⇒ 2x + 3 = ⇒ 2x + 3 = ⇒ 2x + 3 = 23 ⇒ 2x = 8 - 3 ⇒ 2x = 5 ⇒ x = Hence, the value of x = .

Mathematics

2 Likes

Given: log₄(2x + 3) = $\dfrac{3}{2}$

⇒ 2x + 3 = $4^{\dfrac{3}{2}}$

⇒ 2x + 3 = $(2^2)^{\dfrac{3}{2}}$

⇒ 2x + 3 = 2³

⇒ 2x = 8 - 3

⇒ 2x = 5

⇒ x = $\dfrac{5}{2} = 2\dfrac{1}{2}$

Hence, the value of x = $2\dfrac{1}{2}$ .

Answered By

1 Like