Logarithmic Functions Graph - Base 2, 3, and 4 with Vertical Asymptote #219788 (License: Personal Use)

This graph illustrates how logarithmic functions with different bases-2 (red), 3 (blue), and 4 (green)-behave as x increases from 0 to 5. All three curves share a vertical asymptote at x = 0, where the function values tend toward negative infinity, and pass through the point (1, 0). The base-2 curve rises fastest, reflecting its steeper slope for x > 1.

Used in educational math content (e.g., algebra or precalculus lessons) to teach properties of logarithms, asymptotic behavior, and base-dependent growth. Matches user intent for visual learning, homework help, or curriculum support.