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CBSE Class 10 Answered

2power x+1=3 power 1-x then find the value of x  
Asked by care | 23 Sep, 2018, 02:22: AM
answered-by-expert Expert Answer
2power x+1=3 power 1-x then find the value of x

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 - log2
x(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 0.2263
end style
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