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anonymous
 one year ago
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?
A. y=x+2
B. y=x+3
C. x=y+3
D. y=1,000x
E. x=1,000y
anonymous
 one year ago
If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true? A. y=x+2 B. y=x+3 C. x=y+3 D. y=1,000x E. x=1,000y

This Question is Closed

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0The given relationship between x and y can be expressed as \[\large 10^{x}=\frac{10^{y}}{1000}\ .........(1)\] Does that make sense as a first step towards a solution?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait why is the 1 at the end? what is that?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0To find 0.1% of a quantity, we divide the quantity by 1000. The (1) at the end is simply a reference number for this equation. We need to use equation (1) to form another equation.

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Next step is to take logs of both sides of equation (1). Please do that and post your result.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hey we don't use logs for this question

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Who says we don't use logs?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The GRE book I'm using ... There isn't any logs at all

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Does the book suggest a method of solving that doesn't use logs?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well the solutiodw:1436987482723:dwn is this but i don't understand it....

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0I understand the method which gives a correct result. It expresses 1/1000 as \[\large \frac{1}{1000}=\frac{1}{10^{3}}=10^{3}\] Do you understand this step?

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0So equation (1) now becomes \[\large 10^{x}=10^{y} \times 10^{3}\ ......(2)\]

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Now we use the rule of indices \[\large a^{b} \times a^{c}=a^{b+c}\] to turn equation (2) into \[\large 10^{x}=10^{y3}\ .............(3)\] which get the result that x = y  3 ............(4)

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0Equation (4) can be rearranged to make one of the given answer choices.

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0@yomamabf Please ask if you need more explanation for any steps.

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436988747445:dw Please note the corrections to the drawing.
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