MathematicsWhat is the value of x that satisfy the equation32x+1=5?

What is the value of x that satisfy the equation

32x+1=5?

  1. A
    0.61
  2. B
    0.061
  3. C
    0.661
  4. D
    0.161 

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    Solution:

     The given equation is
      32x+1=5
     Taking logarithm both the sides, we get
     log 32x+1=log 5
     (2x+1)log 3=log 5             (logmn=nlog n)
     Now, we divide both side by log 3
     {"mathml":"<math class="image_resized" style="width:160px;height:247px"><span style="-aw-import:ignore"> </span><span>Dividing both side by </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math><br><span style="-aw-import:ignore"> </span><img 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" width="90" height="116" alt= So, the value of x is 0.661.
         
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