if 3+log x to the base 5 = 2 logy to the base 25 , then x equals to the - Maths - Mathematical Reasoning

Question

if 3+log x to the base 5 = 2 logy to the base 25 , then x equals to
the options are a) y/125 b) y/25 c) y^2/625 d) 3 - y^2/25 please
answer quickly

Shruti Tyagi · Accepted Answer

Dear Student,

If the question is 3+log5x=2log25yusing log properties logba=log10alog10b and logab=bloga3+log10xlog105=2×log10ylog10523log105+log10xlog105=2×log10y2log105⇒3log105+log10x =log10y⇒log1053=log10y -log10x ⇒log10125=log10yx Hence yx =125thus x=y125
option A is correct

Regards,

if 3+log x to the base 5 = 2 logy to the base 25 , then x equals to the options are a) y/125 b) y/25 c) y^2/625 d) 3 - y^2/25 please answer quickly