log 2 5. log 16 4 1 6. log 5 125 7. 27 1 log 3 8. 6 1 log 36 9. log 1 9 Use a calculator to evaluate the following. Round to three decimal places. 10. ln0.43 11. log27 12. log 19 7 (write down what you entered into the calculator) Simplify the expression. 13. 7 30log 30 4x 4 14. log 16x 15. log 125x 5 Graph the function.
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That is, the domain includes the intervals (-∞,-1) and (-1, ∞). To find the range, let's plot the graph of the function. To do so, we can simplify it by eliminating like factors: Since the limitation that x cannot be –1 remains after simplification, we can plot the simplified function without worrying about neglecting holes in the graph. Find the inverse of each function. b) d) f) h) log2 x +5 — log2 (x + 6) — 310g2 x —4 log 1 x 3 a) c) e) g) 2 Graph the exponential function and its inverse on the same coordinate plane. Find the following. x—3 Original: Domain: Range: Y -intercept: Horizontal Asymptote: Inverse. Domain: Range: X-intercept: Vertical Asymptote:
1. Know that the inverse of exponential functions are logarithmic functions and visa versa . 2. Know how to compare and convert between logs and exponential . 3. Know how to perform calculations in the Base-10 or Base-e Logarithms scales . 4. Know the basic properties of logarithms . 5. Know how to graph logarithmic functions . 6.
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