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Use your calculator to find approximations of the following logarithms.(a) $\log 356.8$(b) $\log 35.68$(c) $\log 3.568$(d) Observe your answers and make a conjecture concerning the decimal values of the common logarithms of numbers greater than 1 that have the same digits.
(a) 2.552424846(b) 1.552424846(c) 0.552424846(d) The whole number parts will vary, but the decimal parts are the same.
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 5
Common and Natural Logarithms
Functions
Exponential and Logarithmic Functions
Missouri State University
Harvey Mudd College
Baylor University
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Okay, so we want to plug the following log values into our calculator on and see how it changes. So the 1st 1 part A is 2.55 to 4 and in for part B. That would be a 35.68 It's not gives us a one points 55 to 4. And then if we have reports 568 we have a 0.55 to 4. So it's not. It's here that from two we go to one. I'm from one. We go to girl. So if we were to have it's a log of 0.3568 we would assume that this would decrease by one. So this would give us a negative one of points. 55 to 4. And let's just check that by plugging it into our calculator. Okay, so? Well, we don't get that number, actually. Okay, so we were actually want to. That's not what we want. You want to make a conductor based on, um, decimal values of common logs of numbers greater than one. Okay, So basically, if we have that are long value, that's that's X is greater than one. And then we change our decimals that as we move or this moment place one point to the left, were essentially decreasing. Are so you here by the units of one.
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