Consider the equation log(3x - 1) = log28. explain why 3x - 1 is not equal to 8. describe the steps you would take to solve the equation, and state what 3x - 1 is equal to

Using logarithms, it is found that since both sides have different bases, 3x - 1 is not equal to 8.

Using change of base, it is found that 3x - 1 is equals to

The equation given is:

The logarithms at each side of the equality have different bases, hence 3x - 1 is not equal to 8.

Making the conversion of the right side to base 10, we have that:

Hence:

3x - 1 is equals to

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3x-1 is not equal to 8  because the base of the log is different and the value of 3x-1 is equal to 1000.

Given:

The given equation is .

In the given equation, the base of logarithm is different on left hand side and right hand side.

The base on left hand side is 10 (general), and that on right hand side is 2.

So, the entity inside the log will not be equal. So,

Now, change the base of the log and relate the relation as,

Therefore, 3x-1 is not equal to 8  because the base of the log is different and the value of 3x-1 is equal to 1000.

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