(1 point)

Question

Responses

log1023=10^23
logarithm 10 superscript 23 baseline equals 10 superscript 23 baseline

log10^23=23
logarithm 10 superscript 23 baseline equals 23

log10^23=−23
logarithm 10 superscript 23 baseline equals negative 23

log10^23=10^−23

Answer 1

The accurate conversion of the logarithmic expression to its exponential form is as follows:

• \(\log_{10}(23) \neq 10^{23}\)
• \(\log_{10}(10^{23}) = 23\) (this means that when the base is 10 and the argument is \(10^{23}\), the logarithm equals 23)
• \(\log_{10}(10^{-23}) = -23\) (the logarithm of \(10^{-23}\) in base 10 gives -23)
• \(\log_{10}(23) \neq 10^{-23}\)

So the correct responses based on the logarithm property would be:

• \(\log_{10}(10^{23}) = 23\) (Correct)
• \(\log_{10}(10^{-23}) = -23\) (Correct)

The other statements are not correct. If you meant to refer to \(\log_{10}(23)\), it would not equal \(10^{23}\) or \(10^{-23}\).