Exponential and Logarithmic Functions: Solving Exponential and Logarithmic Equations

think icon Think & Click: Solutions to Exponential and Logarithmic Equations

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on it to reveal the solution.

For the equation log(x) + log8 = 1, the solution is x = five-fourths.
 
x = five-fourths is the solution of log(x) + log8 = 1. Use the substitution property to check the solution.
 
For the equation 2x = 100, the approximate solution is x = 5.64.
 
x = 5.64 does not work in the equation 2x = 100.
 
For the equation 10x = 52, the approximate solution is x = 1.72.
 

x = 1.72 is the solution of 10x = 52. Use the substitution property to check the solution.
 

Which of the following value is a solution to ln x = 5? x = 79.4324 or x = 148.4132?
 

x = 148.4132 is the solution of ln x = 5. Use the substitution property to check.