Logarithmic Function Vertical Dilation and Translation Problem: Figure 7-5l Figure 7-5m
Chapter 7, Problem 5(choose chapter or problem)
Logarithmic Function Vertical Dilation and Translation Problem: Figure 7-5l Figure 7-5m a. Figure 7-5l shows the graph of the common logarithm function f(x) = log10 x (dashed) and a vertical dilation of this graph by a factor of 6, y = g(x) (solid). Write an equation for g(x), considering it as a vertical dilation. Write another equation for g(x) = logb x, where b is a number other than 10. Find the base. b. Figure 7-5m shows f(x) = ln x (dashed). Two vertical translations are shown, g(x) = 3 + ln x and h(x) = 1 + ln x. Find algebraically or numerically the x-intercepts of g and h.
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