Question

If a÷b^x-2=b÷a^x-4,then x=
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Answer 1

Answer:

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Step-by-step explanation:

They have given that

a/b^x-2=b/a^x-4

=>a^(x-3)=b^(x-1) [apply logarithm on both sides]

=>(x-3)㏒a=(x-1)㏒b

=>x㏒a-3㏒a=x㏒b-㏒b

=>x(㏒a-㏒b)=3㏒a-㏒b

=>x=3㏒a-㏒b/㏒a-㏒b [multiply and divide with 1/㏒b]

=>x=3㏒(a-b)-1/㏒(a-b)-1

KEEP LEARNING :)