Question 103

What is the value of x in the following equation?
$$3 \log \frac{3}{5} - \log \frac{x}{21} + 2 \log \frac{25}{9} = 0$$

Solution

Share

The above expression can be simplified as $$\log\ \ \frac{\ 27}{125}\times\ \ \frac{\ 21}{x}\times\ \ \frac{\ 625}{81}$$ = 0

On solving the same, we get $$\log\ \ \frac{\ 35}{x}=\ 0$$, for which x shall be 35, making $$\log1=\ 0$$

Get AI Help

Video Solution

video
View More Questions From Logarithms, Surds, and indices

SRCC Quant Questions | SRCC Quantitative Ability

SRCC DILR Questions | LRDI Questions For SRCC

SRCC Verbal Ability Questions | VARC Questions For SRCC

Free SRCC Quant Questions

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI