if 1/log x10=2/log a10-2 , then x= options are a)a/2 b) a/100 c)a2/10 d)a2/100 - Maths - Mathematical Reasoning

Question

if 1/log x10=2/log a10-2 , then x= ? options
are a)a/2 b) a/100 c)a2/10 d)a2/100

Shruti Tyagi · Accepted Answer

Dear Student,

if the question is 1logx10=2loga10-2, then below is solution using property 1logab=logbalog10x=2×log10a-2log10x-log10a2=-2   [using alogb =logab]log10xa2=-210-2=xa2xa2=1100x=a2100
Regards,

if 1/log x10=2/log a10-2 , then x= ? options are a)a/2 b) a/100 c)a2/10 d)a2/100

if 1/log x¹⁰=2/log a¹⁰-2 , then x= ? options are a)a/2 b) a/100 c)a²/10 d)a²/100