Question

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?

Answer 1

The approximate value of log b to the nearest hundredth is 1.23

Laws of logarithm

Given the following logarithmic expressions

loog(5)b and log(9)48

Determine the value of log(9) 48

log(9)48 = 1.762

Equate log(5) b to 1.762 to log(5)b to determine the value of b

log(5)b = 1.762

b = 5^1.762

b = 17.044

log b = log 17.044 = 1.232

Hence the approximate value of log b to the nearest hundredth is 1.23

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Answer 2

Answer:

B =  1.232

Step-by-step explanation:

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