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3.Given log x = m + n and log y =10xin terms of m and n.m-n, express the value of log- |
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Answer» log identities usedlog(ab) = log a + log blog(a/b) = log a - log blog(a^n ) = n log a-log(10x/y^2 ) = log(10x) - log(y^2 )log(10x/y^2 ) = log(10) + log(x) - 2log(y)log(10x/y^2 ) = 1 + log(x) - 2log(y)log(10x/y^2 ) = 1 + m + n - 2(m - n) = 1 + m + n - 2m + 2nlog(10x/y^2 ) = 1 - m + 3n |
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