13. Find the value x such that: 1 (i) 3^2x-1= 1/27^x-3
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Given equation 3x+1/(2x)=5 can be written as (3/2)(2x+1/(3x))=5 i.e 2x+1/(3x)=10/3.Cubingboth sides we get 8x^3+4x+2/(3x)+1/27x^3=1000/27.
8x^3+1/27x^3+2(2x+1/(3x))=1000/27
8x^3+1/27x^3+20/3=1000/27
8x^3+1/27x^3=820/27.
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done ☺
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