CAT 2024 Slot 1 QA Question 8

Type-in-the-answer (no negative marking) · Modern Math · Logarithms · Try it, then check the answer and solution below.

x

is a positive real number such that $4 \log _{10} x+4 \log _{100} x+8 \log _{1000} x=13 , t hen greatest integer not exceeding x , is

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Official Convenor Answer Key: 31

Answer and solution

Answer: 31

To solve the given logarithmic equation, we start by converting all logarithms to a common base, which is base 10.

Given

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