Question

Solve the equation. log 2

​
(2x+5)=3 Change the given logarithmic equation to exponential form.

Answer 1

x = 1.5

Explanation:

using the property of logarithms

•
`log_(b)` x = n ⇒ x =
`b^(n)`

then

`log_(2)` (2x + 5) = 3

2x + 5 =
`2^(3)` = 8 ( subtract 5 from both sides )

2x = 3 ( divide both sides by 2 )

x = 1.5