Solve log(2x + 1) = 3.

answer is 999/2
work out

1 answer

To solve the equation log(2x + 1) = 3, we need to isolate the variable x.

First, we can rewrite the equation in exponential form:
2x + 1 = 10^3

10^3 is equal to 1000, so we have:
2x + 1 = 1000

Next, we can subtract 1 from both sides:
2x = 1000 - 1
2x = 999

Finally, we divide both sides by 2 to solve for x:
x = 999/2

Therefore, the solution to the equation log(2x + 1) = 3 is x = 999/2.