Question

23. If $log_a(x) = -4$, find the value of $log_a(ax^3)$. 24. Suppose $log_5(A) = x$ and $log_5(B) = y$. Express $log_5(\frac{\sqrt{5}A^3}{B^4})$ in terms of $x$ and $y$. 25. Let $f(t) = log_3(9t) + 4$ and $g(t) = 3t$. Simplify $(f \circ g)(t)$ completely. 26. Find the $x$-intercept of the graph of $y = ln(x - k) + 2$. Your answer will be in terms of $k$. 27. Let $H(t) = 5 + 2e^{-t}$. Find the exact value of $H^{-1}(9)$. 28. Determine $k$ so that $lim_{x \to k} (3e^{kt} - k) = -\frac{1}{5}$

          23. If $log_a(x) = -4$, find the value of $log_a(ax^3)$.
24. Suppose $log_5(A) = x$ and $log_5(B) = y$. Express $log_5(\frac{\sqrt{5}A^3}{B^4})$ in terms of $x$ and $y$.
25. Let $f(t) = log_3(9t) + 4$ and $g(t) = 3t$. Simplify $(f \circ g)(t)$ completely.
26. Find the $x$-intercept of the graph of $y = ln(x - k) + 2$. Your answer will be in terms of $k$.
27. Let $H(t) = 5 + 2e^{-t}$. Find the exact value of $H^{-1}(9)$.
28. Determine $k$ so that $lim_{x \to k} (3e^{kt} - k) = -\frac{1}{5}$

23. If loga(x) = -4, find the value of loga(ax^3).
24. Suppose log5(A) = x and log5(B) = y. Express log5((√(5)A^3)/(B^4)) in terms of x and y.
25. Let f(t) = log3(9t) + 4 and g(t) = 3t. Simplify (f ∘ g)(t) completely.
26. Find the x-intercept of the graph of y = ln(x - k) + 2. Your answer will be in terms of k.
27. Let H(t) = 5 + 2e^-t. Find the exact value of H^-1(9).
28. Determine k so that limx → k (3e^kt - k) = -(1)/(5)

Added by Michael P.

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