Use the Product Rule of Logarithms to write an expression equivalent to In(6a+ 9b). Make sure to use parenthesis around your logarithm functions In(x +y)

We want to find an equivalent expression to ln(6a + 9b). We will get:

ln(6a + 9b) = ln(3) + ln(2a + 3b)

Here we will be using the rule:

ln(x) + ln(y) = ln(x*y)

Now let's see our expression:

ln(6a + 9b) = ln(3*(2a + 9b))

Now we use the above rule to write:

ln(3*(2a + 3b)) = ln(3) + ln(2a + 3b)

Then the equivalent expression is:

ln(6a + 9b) = ln(3) + ln(2a + 3b)

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The equivalent expression of is .

Step-by-step explanation:

Let be , which is now solved as follows:

1) Given.

2) Distributive property.

3) () Result.

The equivalent expression of is .

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step-by-step explanation:

answer is x<