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1. I'm stuck doing logs homework, hope someone can help.

The variables x and y are connected by a relationship of the form y=ax^n, where a and n are constants.
Show that there is a linear relationship between log10y and log10x.

Help! Log10y means log(small 10)y
2. (Original post by BethArkless)
I'm stuck doing logs homework, hope someone can help.

The variables x and y are connected by a relationship of the form y=ax^n, where a and n are constants.
Show that there is a linear relationship between log10y and log10x.

Help! Log10y means log(small 10)y
try taking logs of both sides. and remember that and

edit: and remember that a linear relationship is one of the form
3. But the two logs aren't adding or multiplying ?
4. (Original post by BethArkless)
But the two logs aren't adding or multiplying ?
What two logs

As was said

Take logs of both sides
5. (Original post by BethArkless)
I'm stuck doing logs homework, hope someone can help.

The variables x and y are connected by a relationship of the form y=ax^n, where a and n are constants.
Show that there is a linear relationship between log10y and log10x.

Help! Log10y means log(small 10)y
You want to show that

for some numbers (this is the definition of linear relationship).

Now, if then

Now use the basic log laws (in two steps if necessary) to expand the right hand side until you get something of the required form above.

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Updated: March 11, 2013
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