
Solve for x: 
Answer 
1. 


• Take e of both sides to eliminate the ln
• Remember that e^{x} and ln x are inverse function (one undoes the other). 

2. 


• Isolate the log expression
• Choose base 10 to correspond with log (base 10)
• Apply composition of inverses and solve. 

3. 


• Choose base 5 to correspond with the log base of 5.


4. 


• Isolate the ln expression first. 

5. 


• You will need to use the log properties to express the two terms on the left as a single term.
• Remember that log of a negative value is not a real number and is not considered a solution. 

6. 


7. 
Using your graphing calculator, solve for x to the nearest hundredth.
Method 2: Place the left side of the equation into Y_{1} and the right side into Y_{2}. Under the CALC menu, use #5 Intersect to find where the two graphs intersect.

Method 1: Rewrite so the equation equals 0.
Find the zeros of the function.
Both values are solutions, since both values allow for the ln of a positive value. 