Use the properties of logarithms to rewrite each expression so that it contains only one logarithm.
A. log3(5) + log3(m)
log3 (3m)
log a + log b = log ab
That is how a slide rule works.
That is how old I am :)
Damon, I still have mine !
btw, that should have been log3 (5m)
To rewrite the given expression containing two logarithms into one logarithm, we can use the property of logarithms which states that the sum of two logarithms with the same base is equal to the logarithm of their product.
The property can be written as:
logb(x) + logb(y) = logb(xy)
In this case, we have:
log3(5) + log3(m)
Using the property, we can combine the two logarithms into one logarithm of their product:
log3(5 * m)
So, the expression rewritten in terms of one logarithm is log3(5m).