CAT 2021 Logarithms Question (Hard)

Question

If then equals

Accepted Answer

Step 1 Given log base 2 3 log base 3 4 log base 4 x 1 2 0 Add 2 to both sides log base 2 3 log base 3 4 log base 4 x 1 2 Now, rewrite 2 log base 2 value value 2 4 So 3 log base 3 4 log base 4 x 1 4 log base 3 4 log base 4 x 1 1 So 4 log base 4 x 1 3 log base 4 x 1 1 Now solve log base 4 x 1 1 x 1 4

CAT 2021

Quantitative

Logarithms

Hard

If $\log_{2}\!\big[\,3 + \log_{3}\{\,4 + \log_{4}(x-1)\,\}\big] - 2 = 0$ then $4x$ equals

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