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Find the value of b, if any; that would causc the graph of y =logb x to look like the graph shown_0 6 = [6=3.652645...

Question

Find the value of b, if any; that would causc the graph of y =logb x to look like the graph shown_0 6 = [6=3.652645

Find the value of b, if any; that would causc the graph of y =logb x to look like the graph shown_ 0 6 = [ 6=3. 652 645



Answers

Find the value of $b,$ if any, that would cause the graph of $y=b^{x}$ to look like the graph indicated.

All right, Welcome back. So this problem we are looking at figure out that much. Just 2.1 negative. 1 1/3 So that right there, you get one 1/3. You know, Grafton looks like this. Okay, well, can we find an equation that it's this form, or will you be that week on this graph? This form? Well, let's see for plugging, uh, zero for X and one for why we piece we get this and be to this zero will always be one. No matter what value is to this point, right here works. And if we put in this point right here, we'll get your already over on the site. We'll get, uh, who's negative. All groups are menacing again. So why I will be 1/3 sequel to be to the negative one. And from here, if we take the reciprocal both sides or in other words, oh, another way of thinking about it is a big both sides. Negative one power. That's what they're to the negative one sequel to being a big one. The negative one. Well, we just take the reciprocal that left hand side here, get three and the right hand side and we get be. Do you know that be value must be equal to three

Already talking back. So this problem, we have the graph process to the 0.1 in 17 So it looks something like this moves. All right, So look, kind of like that 17 and 01 So, yes, this is an exponential function range and never has ever horizontal awesome toe White quarter zero process to the 0.1 And from this point right here, we can tell that the base of the exponential function will be seven. For equation looks something like this. Why is equal to seven to the X?

All right. Welcome back. This problem with yet the graph looks like this. This point being zero June. It's what, being 15 about right there. 15 So no graph will look like that going through the point. There you go. That's kind of messing with, but hopefully you can use your imagination. Know what I'm talking about? So, um, this is actually not going to be a platform wise. He would meet, yet there is no value be that'll make this equation prostate these two points. Why, Mostly because of this point right here. Um, there's no value of when X is equal to zero. Uh, any recall you were be for any via P. This will just be equal to one now, why was zero X equals zero? So, um, this you can actually write this us? Um, there's no such about you.

All right. Track of back this problem. We're looking at this graph right here in the best 01 in 13 Look, something like this. All right. And the process Through the right. Why intercept? And from this fire right here, this point right here, we can tell that our question is gonna look something like, Why is it the three the X? So that means be busy for three in this case.


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