In Exercises 16–18, write each equation in its equivalent logarit...

Question

In Exercises 16–18, write each equation in its equivalent logarithmic form. 13^y = 874

Accepted Answer

Hello today we're going to rewrite this expression in the form of a logarithms. So the expression given to us is six raised to the exponent. D equal to 534. Well how do we start rewriting this in the form of a logarithms. Well let's go ahead and recall one of our logarithmic rules. If we have the log base of a. Of argument, be equal to some constant C. This statement can be rewritten as a race to the power of C equal to B. And the same is true the opposite way. If we have a statement in the form of a race of the power C equal to B, it could be rewritten in this logarithmic form. And looking at our equation here, this format matches this argument here. So what we're going to do is identify our A. C. And B. Well our a. Is the base of the exponent, so a. is equal to six. C. Is going to be the exponent of that base and C is going to equal to D. And B is just the constant. That a race the power c. is equal to and B is going to be 534. So putting everything together in this format here is going to give me the log base Of six with the argument of b. for equal to our arbitrary constancy which in this case is D. And this is going to be our solution here. This also means that the solution to this problem is going to be a. So I hope this video helps you in rewriting this equation into logarithmic form, and I'll go ahead and see you all in the next video.

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