SAT Math Practice Question #26316 - SATify | SATify

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SAT Math Practice Question #26316 - SATify | SATify

#26316

algebra

logarithms

Change of Base

medium

120 sec

Consider $X = lo g (500 + lo g (499 + lo g (498 + lo g (\dots + lo g (11 + lo g 10) \dots)))) .$ Which of the following intervals contains $X$ ?

A.

$(lo g 501, lo g 502)$

B.

$(lo g 502, lo g 503)$

C.

$(lo g 503, lo g 504)$

D.

$(lo g 504, lo g 505)$

E.

$(lo g 505, lo g 506)$