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.


Consider the equation .
Solve the equation for z. Express the solution as a logarithm in base-10.
z, equals
Approximate the value of z. Round your answer to the nearest thousandth.
z, 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