Question

Log(23)2/3+log(23)6-log(23)4

Answer 1

I hope this helps you

Answer 2

To solve the given expression, we'll apply logarithmic properties to simplify it step by step.

The expression is: log(23)(2/3) + log(23)(6) - log(23)(4)

Let's simplify each term one by one:

1. log(23)(2/3): We can rewrite this expression using the logarithmic property: log(base a)(b/c) = log(base a)(b) - log(base a)(c)

So, log(23)(2/3) = log(23)(2) - log(23)(3)

2. log(23)(6): We'll leave this term as it is for now.

3. log(23)(4): We'll leave this term as it is for now.

Now, let's substitute these simplified terms back into the original expression:

log(23)(2) - log(23)(3) + log(23)(6) - log(23)(4)

We can combine the terms with the same base (23):

log(23)(2) - log(23)(3) + log(23)(6) - log(23)(4) = log(23)(2 * 6 / (3 * 4))

Simplifying further:

log(23)(2 * 6 / (3 * 4)) = log(23)(12/12) = log(23)(1)

The logarithm of any number to the same base is equal to 1. Therefore, log(23)(1) = 1.

So, the simplified expression is 1.