Solving a Logarithmic (and Exponential) Equation
Solving an Logarithmic Equation Algebraically Example #1
- log[5](x + 7) = log[5](2x + 3)
Solving an Logarithmic Equation Algebraically Example #2
- log[9](-11x + 2) = log[9](x^2 + 30)
Solving an Logarithmic Equation Algebraically Example #3
- log[2]x = log[2](x + 6)
Solving an Logarithmic Equation Algebraically Example #4
- log[6]48 = log[6](x + 7) + log[6](x - 1)
Solving an Logarithmic Equation Algebraically Example #5
- log(2x - 7) + log(x - 1) = log(x + 1) + log(x - 3)
Solving a Logarithmic or Exponential Equation Using a Graphing Calculator
- convert all logs to base 10
Solving an Exponential Equation Algebraically Using Logarithms Example #1
- take the common logarithm of both sides
- solve for x
- 2^x = 12
Solving an Exponential Equation Algebraically Using Logarithms Example #2
- 8(10^x) = 72
Solving an Exponential Equation Algebraically Using Logarithms Example #3
- 4^(x + 1) = 3
Solving an Exponential Equation Algebraically Using Logarithms Example #4
- 4^x = 6^(x - 2)