4. LOGARITHMIC FUNCTION MODELS 105 We view the graphs of y = ln x and y = log x together. All logarithmic graphs pass through the point (1, 0) and have the y-axis as a vertical asymptote. For x > 1, the smaller the base, the larger the values of the logarithm. For x < 1, the smaller the base, the smaller (more negative) the values of the logarithm. When b > 1, logb x increases at a decreasing rate (concave down). When 0 < b < 1, logb x decreases at an increasing rate (concave up), i.e., at a rate that is less and less negative.
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