What that white powder actually is
That chalky white bloom on your basement wall is efflorescence. It's mineral salt left behind after water traveled through the concrete or block and evaporated at the surface.
Think of the wall like a sponge. Groundwater carries dissolved salts in, the water dries off, and the salt stays put as a powdery crust.
By itself, efflorescence won't hurt your house. It's a messenger, and the message is simple: water is getting into or through this wall.
The good news is that the fix is usually about managing water, not tearing anything out. Most cases come down to drainage and grading, which you can handle for the cost of a downspout extension.
Why it's showing up on your wall
In most cases, it's plain moisture wicking through porous masonry. Concrete and block soak up groundwater, and that water brings salts along for the ride.
The most common driver behind that moisture is bad exterior drainage. Downspouts that dump right at the foundation and ground that slopes toward the house both pile water against the wall.
If your foundation is new, the powder might just be the concrete curing out. Fresh concrete releases free lime for months, and light efflorescence during the first year is normal.
Interior humidity plays a role too. In a humid, un-conditioned basement, moist air condenses on the cool wall and slowly pulls salts to the surface.
The less common but more serious cause is a crack or failed waterproofing channeling water to one spot. You'll know it because the efflorescence shows up as a concentrated stripe or patch instead of a broad haze.