IPMAT Indore Logarithms previous year questions

12 Logarithms questions from IPMAT Indore 2022–2026 (Quantitative Ability), each with its answer and a step-by-step solution.

• Q32If log_1824=p , then log_96108 equalsIPMAT Indore 2026 · Quantitative Ability · Logarithms
• Q43The approximate value of the expression 2log_33n-log_3 (n²+1 ) for a sufficiently large n isIPMAT Indore 2026 · Quantitative Ability · Logarithms
• Q14If log_3 (x²-1 ) , log_3 ( 2x²+1 ) and log_3 ( 6x²+3 ) are the first three terms of an arithmetic progression, then…IPMAT Indore 2025 · Quantitative Ability · Logarithms
• Q17If y=a+blog_ex , which of the following is true?IPMAT Indore 2025 · Quantitative Ability · Logarithms
• Q20If log_25 [ 5log_3 ( 1+log_3 ( 1+2log_2x ) ) ]=(1)/(2) then x is:IPMAT Indore 2025 · Quantitative Ability · Logarithms
• Q9If 4^(log_2x)-4x+9^(log_3y)-16y+68=0 , then y-x equals _______IPMAT Indore 2024 · Quantitative Ability · Logarithms
• Q18If log_4x=a and log_25x=b then log_x10 isIPMAT Indore 2024 · Quantitative Ability · Logarithms
• Q23Let a=( (log_74 ) (log_75-log_72 ))/( (log_725 ) (log_78-log_74 )) . Then the value of 5^(a) isIPMAT Indore 2024 · Quantitative Ability · Logarithms
• Q6The product of the roots of the equation log_2 (2^( (log_2x )²) )-5log_2x+6=0 is _____IPMAT Indore 2023 · Quantitative Ability · Logarithms
• Q17Let a, b, c be real numbers greater than 1, and n be a positive real number not equal to 1. If log_n (log_2a )=1 ,…IPMAT Indore 2023 · Quantitative Ability · Logarithms
• Q1If log_x²y+log_y²x=1 and y=x²-30 , then the value of x²+y² is _________IPMAT Indore 2022 · Quantitative Ability · Logarithms
• Q16The set of real values of x for which the inequality log_278≤log_3x<9^((1)/(log_23)) holds isIPMAT Indore 2022 · Quantitative Ability · Logarithms