Write the logarithmic equation in exponential form. log 1/1000 = -3 [ ] = 1/1000

To convert a logarithmic equation into exponential form, you can use the definition of a logarithm:

If ( log_b(a) = c ), then this is equivalent to ( b^c = a ).

In your case, you have:

[ log_{10}(1/1000) = -3 ]

This means that:

[ 10^{-3} = 1/1000 ]

So the exponential form is:

[ 10^{-3} = 1/1000 ]

This shows that 10 raised to the power of -3 equals ( frac{1}{1000} ).

Great job working through logarithms! If you have more questions, feel free to ask or check the extended services page for further assistance!