At the beginning of the month, a song on a streaming service had 700 listens, and it was getting 52 new listens each day. Meanwhile, a different song had 600 listens, and it was getting 56 new listens each day. When will the two songs have the same number of listens?

The first song is getting 52 new listens each day, so the number of listens for the first song after x days can be represented by the equation:

700 + 52x

The second song is getting 56 new listens each day, so the number of listens for the second song after x days can be represented by the equation:

600 + 56x

We want to find the number of days (x) when both equations are equal:

700 + 52x = 600 + 56x
100 = 4x
x = 25

Therefore, the two songs will have the same number of listens after 25 days.