The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23
From the question, we are to determine the value of log b to the nearest hundredth
From the given information
[tex]log_{5}b = log_{9}48[/tex]
But,
[tex]log_{9}48 =1.76186[/tex]
∴ [tex]log_{5}b =1.76186[/tex]
By one of the laws of logarithm
∴ [tex]b =5^{1.76186}[/tex]
b = 17.0407
Then,
log b = log(17.0407)
= 1.2315
∴ log b ≅ 1.23
Hence, the value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23
Learn more on Evaluating logarithms here: https://brainly.com/question/237323
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