Which of the following pairs are not equivalent statements?

Question

anonymous · Answer

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tkhunny · Answer

What say you?  Can you transform them?  Frankly, I think #3 and #4 can't BOTH be right.

anonymous · Answer

I'm thinking the incorrect one is #3 but I'm kind of lost right now so I'm just guessing

tkhunny · Answer

#3 is incorrect

mathstudent55 · Answer

You are correct. Remember that a log is an exponent.

This is the conversion from exponents to logs:
$\log_b x = y \iff b^y = x$

Look at the log equation above. y is the log, and b is the base. x is what you are taking the log of.
Now look in the log equation above. The base, b, is being raised to the y, the exponent. Remember, that a log is an exponent. y is the log from the log equation and it becomes the exponent in the exponential equation.

anonymous · Answer

Thank you guys so much! I understand now