SOLUTION: express the following using one log
a.log x + log 4 – log 2
b.2log x + log 5 + log 2
c. 3 log x + 2 log x + log 100
solve
a. log (x + 4) + log 5 = 2
b. log3(2x + 1) =
You can put this solution on YOUR website! A couple things to mention before i do these problems.
if there is a number before the log, it is an expontent of the number being logged.
2 log properties to keep in mind are the multiplication and division properties.
The log of a product is the sum of the logs.
The log of a quotient is the differnce of the logs.
Just remember if the log is positive it going on top of the fraction. if the log is negative it goes on the bottom. This will help in some future problems.
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When it asks you to solve the log, you want to find the value of x. For the below proplems we will exponentiate the logs. this means will take the base and raise it to the answer and make it equal to the number being logged.
Some examples:
