Solve exponential equations using logarithms: base-10 and base-e

Solve exponential equations that have 10 or e at the base of the exponential term.

Problem

Consider the equation minus, 2, dot, 10, start superscript, 4, x, end superscript, equals, minus, 300.
Solve the equation for x. Express the solution as a logarithm in base-10.
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