In Exercises 13–15, write each equation in its equivalent exponen...

Question

In Exercises 13–15, write each equation in its equivalent exponential form. log3 81 = y

Accepted Answer

Hello. Today we're going to rewrite a logarithms into its exponential form. So the logarithms given to us is log base of two of argument 2048 equal to y. So how do we rewrite this in its exponential form? Well let's go ahead and recall one of our logarithmic rules and the logarithmic moral states that if we have log base of a argument be equal to some constant C. This statement could be rewritten as a race to the power of C equal to B. So we're going to use this logarithmic rule to help us rewrite this in exponential form. So all we're doing is taking our log base of a, raising it to the power of C and setting it equal to B. So that way we can rewrite this logo rhythm into the form of an exponential statement. So in this case here we're gonna take our A. Which is two and raise it to the power of why and set it equal to be Doing so is going to give me to raise to the power of y equal to 2048. And this is going to be our solution. That also means that the solution to this problem is going to be C. So I hope this video helps you in understanding how to rewrite a logarithms into an exponential form. And I'll go ahead and see you all in the next video

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