Logarithmic Functions (Inverse of Exponentials) (Year 12)
Free printable Year 12 Mathematical Methods worksheet on logarithmic functions as the inverse of exponentials: index and log form, evaluating, log laws and graphs (ACMMM151-154).
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Year 12 · Math worksheet
Name
Date
Math
Functions: Logarithmic Functions (Inverse of Exponentials)
Convert between index and logarithmic form, evaluate logarithms, apply the log laws, and use the fact that the logarithm is the inverse of the exponential. (ACARA Mathematical Methods Unit 4: ACMMM151-154.)
- 1.Rewrite log_10(100) = 2 in index (exponential) form.
- 2.Rewrite log_10(100) = 2 in index (exponential) form.
- 3.Rewrite log_5(25) = 2 in index (exponential) form.
- 4.Evaluate log_10(1000).
- 5.Evaluate log_2(16).
- 6.Evaluate log_3(27).
- 7.Use the quotient law to evaluate log_3(27) - log_3(3).
- 8.Use the product law to evaluate log_3(9) + log_3(9).
- 9.The function f(x) = . State its inverse function (x), and the line the two graphs are reflections in.
- 10.The function f(x) = . State its inverse function (x), and the line the two graphs are reflections in.
- 11.Sketch y = log_2(x), the inverse of y = . State the x-intercept and the equation of the vertical asymptote.
The mirror image of the exponential curve, reflected in the line y = x.
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