Question 3

If $$(\frac{5}{7})^{4x} (\frac{7}{5})^{3x-1} = (\frac{7}{5})^6$$, then the value of x which satisfies the equation.

Solution

Expression : $$(\frac{5}{7})^{4x} (\frac{7}{5})^{3x-1} = (\frac{7}{5})^6$$

=> $$(\frac{7}{5})^{-4x} (\frac{7}{5})^{3x-1} = (\frac{7}{5})^6$$

Using, $$(a)^m\times(a)^n=(a)^{m+n}$$

=> $$(\frac{7}{5})^{-4x+3x-1}=(\frac{7}{5})^6$$

Comparing the exponents, we get :

=> $$-x-1=6$$

=> $$x=-1-6=-7$$

=> Ans - (B)

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Averages Questions CAT Number Systems Questions CAT Venn Diagrams Questions CAT Remainders Questions CAT Averages Mixtures Alligations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based DI Questions CAT Puzzles Questions CAT Data Interpretation Basics Questions CAT DI with connected data sets Questions CAT Maxima-Minima Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Odd One Out Questions CAT Miscellaneous Questions CAT Para Summary Questions CAT Reading Comprehension Questions

Follow us on

Boost your Prep!

Download App