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