I can't solve this, please help. 2logx - 1/2log(x-1) + 3log(x+2) = 0
S Spoon- New member Joined Nov 26, 2007 Messages 11 Dec 16, 2007 #1 I can't solve this, please help. 2logx - 1/2log(x-1) + 3log(x+2) = 0
pka Elite Member Joined Jan 29, 2005 Messages 11,990 Dec 16, 2007 #2 Re: Logarithm Question Your question reduces to \(\displaystyle \frac{{x^2 \left( {x + 2} \right)^3 }}{{\sqrt {x - 1} }} = 1\). Do you know why?
Re: Logarithm Question Your question reduces to \(\displaystyle \frac{{x^2 \left( {x + 2} \right)^3 }}{{\sqrt {x - 1} }} = 1\). Do you know why?
O o_O Full Member Joined Oct 20, 2007 Messages 396 Dec 16, 2007 #3 Re: Logarithm Question Just to add, reviewing these may help: \(\displaystyle nlog_{a}b = log_{a}b^{n}\) \(\displaystyle a^{\frac{m}{n}} = \sqrt[m]{a^{n}} = (\sqrt[m]{a})^{n}\) \(\displaystyle log_{a}b + log_{a}c = log_{a}(b \cdot c)\) \(\displaystyle log_{a}b - log_{a}c = log_{a}\left(\frac{b}{c}\right)\) \(\displaystyle log_{a}b = c \quad \mbox{is the same thing as} \quad a^{c} = b\)
Re: Logarithm Question Just to add, reviewing these may help: \(\displaystyle nlog_{a}b = log_{a}b^{n}\) \(\displaystyle a^{\frac{m}{n}} = \sqrt[m]{a^{n}} = (\sqrt[m]{a})^{n}\) \(\displaystyle log_{a}b + log_{a}c = log_{a}(b \cdot c)\) \(\displaystyle log_{a}b - log_{a}c = log_{a}\left(\frac{b}{c}\right)\) \(\displaystyle log_{a}b = c \quad \mbox{is the same thing as} \quad a^{c} = b\)
D Deleted member 4993 Guest Dec 17, 2007 #4 Spoon- said: I can't solve this, please help. 2logx - 1/2log(x-1) + 3log(x+2) = 0 Click to expand... Did you really want to solve for 'x'? What methods have learned to solve non-linear (beyond quadratic) equations?
Spoon- said: I can't solve this, please help. 2logx - 1/2log(x-1) + 3log(x+2) = 0 Click to expand... Did you really want to solve for 'x'? What methods have learned to solve non-linear (beyond quadratic) equations?