(1 point) rewrite each of the following as an expression of x x which does not involve any logs. (a) log10(100x)= log 10 100 x equation editorequation editor (formulas) (b) 1000log10(x)= 1000 log 10 x equation editorequation editor (formulas) (c) log10(0.0001x)= log 10 0.0001 x equation editorequation editor (formulas)

Something's wrong at your end, as some of what you've typed shows up twice.  You might want to type in the problems by hand so as to obtain proper formatting.

My understanding is that you want to rewrite   log10(100x)
without involving logs.

First of all, you most probably meant 

log       100x, which is "the log to the base 10 of 100x."
      10

Note that 100x is a product, and so "log to the base 10 of 100x" is equal to

log to the base 10 of 100  +  log to the base 10 of x

and this comes out to   2   + log x.  Can't eliminate that "log" without knowing the value of "x".

1000log10(x)   =>    1000log      x      is  actually exactly the same as 100log 
                                              10         x, and is equivalent to 

                                                            log x^1000.

You could experiment as follows:   Let y = 1000log(x)

Write the equation                         10         10

and then raise the first 10 to the power y and the second 10 to the power 1000log x:

                                                    10^y = 10^[log x^1000]

This simplifies to                           10^y = x^1000.

Ensure that you have copied down this problem as closely matching the original as possible.