Question 39

If $$\log_{2}{\log_{7}{(x^2 - x+37)}}$$ = 1, then what could be the value of ‘x’?

Solution

$$\log_{2}{\log_{7}{(x^2 - x+37)}}$$ = 1

$$\log_{7}{(x^2 - x+37)}$$ = $$2$$

$$(x^2 - x+37)$$ = $$7^{2}$$

Given eq. can be reduced to $$x^2 - x + 37 = 49$$

So x can be either -3 or 4.

Share on Whatsapp Share on Whatsapp

Boost your CAT prep: Take All-India 3 free CAT mock tests with Video solutions

Video Solution

video

Click on the Email ☝️ to Watch the Video Solution

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
38+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Profit, Loss and Interest Questions CAT Remainders Questions CAT Geometry Questions CAT Averages Mixtures Alligations Questions CAT Averages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Data Interpretation Questions CAT Selection With Condition Questions CAT Charts Questions CAT DI Miscellaneous Questions CAT Special Charts Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Odd One Out Questions CAT Reading Comprehension Questions CAT Vocabulary Questions CAT Para Summary Questions CAT Critical Reasoning Questions

Also Read

CAT Mock Tests

CAT 2025 Course

Free CAT Preparation

CAT Questions

CAT Formulas PDF

CAT Study Material

CAT Score vs Percentile

CAT Score Calculator

CAT Percentile Predictor

CAT Sectional Tests

CAT Exam

CAT Prep Videos

CAT Registration

CAT Syllabus 2025

CAT Eligibility Criteria

CAT Admit Card

Follow us on

Boost your Prep!

Download App