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Solving exponential and logarithmic equations — Homework

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Solving exponential and logarithmic equations — Homework

Decide first whether the bases can match; if not, take logs of both sides.

  1. 1.Solve: 3^(x+2) = 27.
  2. 2.Solve: log_5(x+1) = 2.
  3. 3.Solve: 4^(3x) = 64.
  4. 4.Solve 6^x = 40 for x, giving an exact log expression and a decimal approximation (3 decimal places).
  5. 5.Solve log_2(x) + log_2(x-2) = 3, and identify any extraneous solution.
🌲 Homeschool of the FutureEleventh Grade · Math · week 29 homework