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Exponentials & Logarithms

Review question

When does this exponential function equal this linear one?

Ref: R8013

Draw the graph of y=3x for values of x from 2 to +2, plotting at least nine points. [Take 2cm as unit on the axis of x, and 1cm as unit on the axis of y.]

Use your graph to find

  1. the roots of the equation 3x=3x+2,
  2. the range of values of k for which the equation 3x=kx has no real roots.

[The instructions suggested that squared paper should be used and that for us, the use of calculators is allowed.]