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If 2 power of x+1 = 3 power of 1-x then find the value of x |
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Answer» ϴΝ:-2power X+1=3 power 1-x then find the VALUE of x •ᎪΝՏᏔᎬᎡ:-2(x + 1) =3(1 - x) Taking log on both the sides, we get(x + 1) log2 = (1 - x) log3 (x + 1) log2 = (1 - x) log3 xlog2 + log2 = log3 - xlog3 xlog2 + x log3 = log3 - LOG2X(log2 + log3) = (log3 - log2) begin mathsize 16px style straight x space space equals space fraction numerator open parentheses log space 3 space minus space log 2 close parentheses over denominator open parentheses log space 3 space plus space log 2 close parentheses end fraction space equals space fraction numerator open parentheses log space 3 space minus space log 2 close parentheses over denominator log 6 end fraction space equals space fraction numerator 0.4771 space minus space 0.3010 over denominator 0.778 end fraction equals space 0.2263end style |
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