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Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?
Log StartFraction 8 Over 25 EndFraction
StartFraction log 8 Over log 25 EndFraction
log StartFraction 25 Over 8 EndFraction
StartFraction log 25 Over log 8 EndFraction

Respuesta :

mysticchacha

Answer:

The last choice:   log 25  Over  log 8

Step-by-step explanation:

Because the change of base formula says:

log (subscript 8)  of 25  =    log (25)  /  log (8)

let  log be the Common Log  without subscripts

The change of base formula used by Devonte to approximate the logarithm expression log₈ 25 is log 25 / log 8.

How to express logarithm?

Using logarithm theorem,

logₐ b = logₓ b / logₓ a

Therefore,

log₈ 25  can be express as follows;

Recall that the natural base is base 10

Therefore,

log₈ 25  =  log 25 / log 8.

learn more on logarithm here: https://brainly.com/question/27204909

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