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ICSE Class 9 Answered

Asked by Topperlearning User | 09 Aug, 2017, 03:16: PM
answered-by-expert Expert Answer

begin mathsize 12px style LHS equals log space 5 space plus space 16 space log space 625 over 6 space plus space 12 space log space 4 over 375 space plus space 7 log space 81 over 1250
equals log space 5 plus space 16 space log open parentheses fraction numerator space 5 to the power of 4 over denominator 2 cross times 3 end fraction close parentheses plus 12 space log space open parentheses fraction numerator 2 squared over denominator 5 cubed cross times 3 end fraction close parentheses plus 7 log space open parentheses fraction numerator 3 to the power of 4 over denominator 5 to the power of 4 cross times 2 end fraction close parentheses
equals log space 5 space plus space 16 space left parenthesis 4 log space 5 space minus log 2 space minus space log space 3 right parenthesis space plus space 12 space left parenthesis 2 log space 2 minus space 3 log space 5 minus log 3 right parenthesis plus 7 left parenthesis 4 log space 3 minus 4 log space 5 minus log 2 right parenthesis
equals log space 5 plus log space 2
equals log space left parenthesis 5 cross times 2 right parenthesis
equals log space 10
equals 1
equals RHS end style

Answered by | 09 Aug, 2017, 05:16: PM
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