SOLUTION: Combine the following expression: log 12+(1/2) log 7 - log 2???
Would the answe be log(84^(1/2) / 2)??
Algebra.Com
Question 409554: Combine the following expression: log 12+(1/2) log 7 - log 2???
Would the answe be log(84^(1/2) / 2)??
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
You're close.
The properties that allow us to combine logarithms which have different arguments, and , require that the coefficients of the logarithms be 1's. So we need to eliminate the (1/2) in front of the middle log. Fortunately there is another property, , which allows us to move a coefficient into the argument as the exponent. So we start by using this third property to move the 1/2:
Since an exponent of 1/2 means square root, I am going to rewrite the argument as a square root:
Now we can start combining. The first two logs have a "+" between them so we will use the first property to combine them:
The remaining logs have a "-" between them so we will use the second property to combine them:
And finally the fraction will reduce:
RELATED QUESTIONS
Help!
Use the rules of logarithms to show that the following are equivalent.
log 144... (answered by mukhopadhyay)
Please someone help me with this. Combine the expression
1- log 27 + 1/2 log base 3 -... (answered by addingup)
Solve the following equation
log (2y) + Log (4y-1)=2
(answered by hammy,josmiceli)
Use log properties to combine the following log expression as a single logarithm.... (answered by lwsshak3)
What is the value of the given expression:
log sq.rt.(m^3/n)
a. 1/2 log m - log n
(answered by Jk22)
I need to combine the following into one log (base 3)
ln{x{log (base... (answered by jsmallt9)
log (x+7) - log (x-2) =... (answered by ankor@dixie-net.com)
log(3x+7)+log(x-2)=1 (answered by lynnlo)
log(7-x)-log(3x+2)=1 (answered by savvyhush23)