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  1. log (1/10x) = - log (10x) = - log (10) - log (x) If logs are to base 10, this is: -(1 + log (x)). log (sqrt(xy^2)) = log (xy^2) / 2 = ( log (x) + 2log(y) ) / 2 This may need modification if ...

    2 Answers · Science & Mathematics · 25/07/2007

  2. log 600 = log 2*3*100 = log 2 + log 3 + log 100 = log 2 + log 3 + log 10^2 = log 2 + log 3 + 2 log 10 = log 2 + log 3 + 2 (1) = .301 + .477 + 2 = 2.778

    4 Answers · Science & Mathematics · 17/04/2010

  3. log (M * T) = log (P) M * T = P Edit: Sorry for... let's assume that it was equal to zero: 3log(M) - log (T) + 2log(P) = 0 3log(M) + 2log(P) = log (...

    3 Answers · Science & Mathematics · 30/01/2012

  4. log (base any) of x raised to the 3rd power is 3 times log (base any) x. log (base any) of x raised to the 1/2 power is 1/2...

    2 Answers · Science & Mathematics · 27/04/2007

  5. I presume log ^7 means log [base 7]? Use the rules: log [base a] x + log [base a] y = log [base a] x·y log [base a] x - log [base a] y = log [base a] x/y Both logs in the first equation...

    3 Answers · Science & Mathematics · 07/04/2007

  6. log [(x+4)/(x-2)] - log 3 = 0 (now divide what's inside the first log by 3, it's one of the laws) log [(x+4)/(x-2) * (1/3)] = 0 log [(x+4)/(3x-6)] = 0 (one of the laws: the base of the log to the...

    2 Answers · Science & Mathematics · 19/02/2011

  7. log _(1/a) (b) = log _a(b) / log _a(1/a) = log _a(b)/ log _a (a^(-1) = log _a(b)/(-1) = - log _a(b) so f( log _a(x)) = log _a(x) * (- log _a(x)) ==> f( log _a(x)) = -( log _a(x))^2 ==> f(x) = -x^2

    2 Answers · Science & Mathematics · 05/12/2016

  8. log (x + 11) - log (x) = 3 Using log rules, we can combine the logs into...11) / x) = 3 Raise 10 to the power of each side to eliminate the log : (x + 11) / x = 1000 Multiply each side by x: x + 11 = 1000x...

    4 Answers · Science & Mathematics · 28/03/2012

  9. log [10] (150) = log [10] (15·10) = log [10](15) + log [10](10) = log [10](15) + 1 ≈ 1.17609 + 1 ≈ 2.17609

    1 Answers · Science & Mathematics · 01/06/2008

  10. log (x(1/16)) = -4 log (x) - log (16) = -4 log (x) = log (16) - 4 e^( log (x)) = e^( log (16) -4) x = e^( log (16))/e^4 x = 16/e^4 check the answer: http://www.wolframalpha.com/input/?i=solve+ log %28x%281%2F16%29%29+%3D+-4

    2 Answers · Science & Mathematics · 19/05/2013

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