Question

If 2power X+1=3power1-x
Find X value

Answer 1

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

Step-by-step explanation: