If the statement is in exponential form, write it in an equivalen...

Question

If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. 3^4 = 81

Accepted Answer

Express the following equation in its equivalent logarithmic form where we have 13 to the third equals 21 97. Possible answers being log base 3, 21 97 equals 13, log base 13, 21 97 equals three, log base 13 of three equals 21 97. And log base 3 13 equals 21 97. Now, we can make use of the basic form of exponentials which is X as equals to a race to the Y power. This can be written in log form sy equals log base A of X. If you look at our equation, our X is 21 97 that is equals to 13. Race to the third, we cannot rewrite this in our log form. Our X 21 97 A 13, Y is three. Our log form, we then say Y equals so three equals to log base of a of 13 of 21 97. We don't want to simplify this any further. So our answer corresponds with answer B OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. 3^4 = 81