# How do you solve #2 log x = log 2 + log (3x - 4)#?

Step 1: Rewrite the equation as a single logarithm on the right hand side, using the sum to product rule, like this

Step 2: Transform into the exponential form with the base of 10 like this (or most simple way to put it, if there are log with same base on each side of equation then we can "drop" the log).

This can be solved by using a factoring method like this …

The factors of 8 that add up to -6 are -2 and -4.

We will need to the check the solutions above to determine whether there are any extraneous solutions (solution that don't work (aka "check out").

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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