contract the expression,use the property of logarithms to write each expression as a single logarithm with a coefficient of 1
To contract an expression using the property of logarithms, we need to combine multiple logarithms into a single logarithm with a coefficient of 1. The specific property we'll be using is:
log base a (b) + log base a (c) = log base a (b * c)
This property allows us to combine the addition of logarithms into a single logarithm with multiplication.
Here's the step-by-step process to contract the expression:
1. Identify the logarithms you want to combine. Let's say we have two logarithms: log base a (b) and log base a (c).
2. Apply the property of logarithms mentioned above. Add the two logarithms together and write them as a single logarithm with multiplication. The coefficient of this logarithm will be 1.
log base a (b) + log base a (c) = log base a (b * c)
So, by using the property of logarithms, we have successfully contracted the expression into a single logarithm with a coefficient of 1.
Note: This property can also be extended to more than two logarithms. If you have more logarithms to combine, simply add them all together and write them as a single logarithm with multiplication.