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Algebra 2

Course: Algebra 2 > Unit 8

Lesson 5: Solving exponential equations with logarithms
Math
Algebra 2
Logarithms
Solving exponential equations with logarithms
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Solve exponential equations using logarithms: base-10 and base-e

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Problem

Consider the equation 0, point, 3, dot, e, start superscript, 3, x, end superscript, equals, 27.
Solve the equation for x. Express the solution as a logarithm in base-e.
x, equals
Approximate the value of x. Round your answer to the nearest thousandth.
x, approximately equals
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
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