Unit 4, Lesson 14
Solving Exponential Equations
Integrated Math 3
Practice
Problem 1
Solve each equation without using a calculator. Some solutions will need to be expressed using log notation.
- \(4 \boldcdot 10^x = 400,\!000\)
- \(10^{(n+1)} = 1\)
- \(10^{3n} = 1,\!000,\!000\)
- \(10^p = 725\)
- \(6 \boldcdot 10^t = 360\)
Problem 2
Solve \(\frac14 \boldcdot 10^{(d+2)} = 0.25\). Show your reasoning.
Problem 3
Write two equations—one in logarithmic form and one in exponential form—that represent the statement: “the natural logarithm of 10 is \(y\).”