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ICSE Class 9 Answered

log square root of 27 space plus space log 8 space minus space log square root of 1000 space divided by log 1.2
Asked by nurul242p | 27 Jun, 2019, 08:58: PM
Expert Answer
begin mathsize 16px style fraction numerator log square root of 27 plus log space 8 space minus space log square root of 1000 over denominator log space 1.2 end fraction end style
= begin mathsize 16px style fraction numerator log space 3 to the power of begin display style 3 over 2 end style end exponent plus log space 2 cubed space minus space log space 10 to the power of begin display style 3 over 2 end style end exponent over denominator log space 1.2 end fraction end style
=begin mathsize 16px style fraction numerator begin display style 3 over 2 log space 3 plus 3 log space 2 minus 3 over 2 log space 10 end style over denominator log space 4 plus log space 3 minus log space 10 end fraction end style
= begin mathsize 16px style fraction numerator begin display style 3 over 2 log space 3 plus 3 log space 2 minus 3 over 2 end style over denominator log space 4 plus log space 3 minus 1 end fraction end style
= begin mathsize 16px style fraction numerator begin display style 3 over 2 open parentheses log space 3 plus 2 log space 2 minus 1 close parentheses end style over denominator log space 4 plus log space 3 minus 1 end fraction end style
= begin mathsize 16px style 3 over 2 open parentheses fraction numerator log space 3 plus log space 4 minus 1 over denominator log space 3 plus log space 4 minus 1 end fraction close parentheses equals fraction numerator begin display style 3 end style over denominator begin display style 2 end style end fraction end style
Answered by Sneha shidid | 28 Jun, 2019, 09:42: AM

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log square root of 27 space plus space log 8 space minus space log square root of 1000 space divided by log 1.2
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