CBSE Class 10 Answered
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![question image](https://images.topperlearning.com/topper/new-ate/topr_35833039350484283Screenshot6.jpeg)
Asked by agrimt1212 | 17 Jul, 2021, 17:39: PM
![begin mathsize 18px style L e t space space x space equals space 2 to the power of log subscript 2 square root of 2 end subscript superscript 5 end exponent end style](https://images.topperlearning.com/topper/tinymce/cache/7a731df406044e05040200b42bde5ca1.png)
![begin mathsize 14px style log subscript 2 square root of 2 end subscript superscript 5 space equals space fraction numerator log subscript 10 superscript 5 over denominator log subscript 10 superscript 2 square root of 2 end superscript end fraction space equals space fraction numerator 0.699 over denominator 0.451 end fraction equals space 1.55 end style](https://images.topperlearning.com/topper/tinymce/cache/8ccd63a8051af823ce1f51cf4e15176c.png)
![begin mathsize 14px style x space equals space 2 to the power of 1.55 end exponent end style](https://images.topperlearning.com/topper/tinymce/cache/cccfcf137bb8fd7d6fb8f7f50de436d0.png)
log(x) = 1.55 × log(2) = 1.55 × 0.3010 = 0.466
x = Antilog (0.466) = 2.928
Answered by Thiyagarajan K | 17 Sep, 2021, 18:58: PM
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