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The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53

Sagot :

The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

Evaluating logarithm

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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