In Exercises 9–20, write each equation in its equivalent logarith...

Question

In Exercises 9–20, write each equation in its equivalent logarithmic form. 7^y = 200

Accepted Answer

Hey everyone welcome back. This problem is asking us which of the following is a log rhythmic form of nine to the Y. Is equal to 450. Okay so let's start by rewriting what were given nine to the exponent Y. Is equal to 450. Alright now we have a problem like this. What we want to do is recall our log rules. Now we know that if we have B. Base to the exponent of something say A. Equal to X. Well we can rewrite this as log base B. Of X is equal to a. Okay so the base B of the exponents becomes the base B. Of the log rhythm. And the value A. That was all the value story X. That was all by itself goes inside of the log rhythm. Alright okay so applying this to our problem, the base we have is nine case or B. Is going to be nine. The A. Is what's in the exponents A. And R. Case is going to be Y. And the value of X. The thing by itself is 450. Okay so we can rewrite this as log B. Which is our nine. The base X. Which is a thing on its own 450. That's going to equal to whatever was in the exponent. Well that's why in our case. Okay so now we have blog base 9, 450 is equal to Y. That is answer. C. Alright I hope this video helped see you in the next one

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In Exercises 9–20, write each equation in its equivalent logarithmic form. 7^y = 200

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