Exponential and Logarithmic Functions: Solving Exponential and Logarithmic Equations

think icon Think & Click: Solving 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.

Solve x = log35. Round your answer to the nearest hundredth.
 

log35 = the quotient of log base 10 of 5 divided by log base 10 of 3 is approximately equal to 1.46
 

Solve log7 + logx = 2. Round your answer to the nearest hundredth.
 

logx = 2 – log7

x = 102 – log7

x ≈ 14.29
 

Solve ln 4 − ln x = 3. Round your answer to the nearest hundredth.
natural log of the quotient of 4 divided by x equals 3, 4 divided by x equals e to the third power, 4 divided by x equals 20.0855, 4 equals 20,0855 times x, x equals 0.1991

 

 

Please use this worksheet to continue practicing solving exponential and logarithmic equations. Try each of the problems on your own and then check your work.