Figure shows a straight line graph of log10y against log10x. Given y=x^2n/k where n and k are constants.Calculate the value of n and k.
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Originally Posted by mastermin346 Figure shows a straight line graph of log10y against log10x. Given y=x^2n/k where n and k are constants.Calculate the value of n and k. hi $\displaystyle y=\frac{x^{2n}}{k}$ $\displaystyle \lg y=\lg {\frac{x^{2n}}{k}}$ $\displaystyle \lg y=2n\lg x-\lg k$ from the graph , we can see that the gradient is 1/2 so 2n=1/2 , n=1/4 - lg k =-1 lg k=1 k=??
Originally Posted by mathaddict hi $\displaystyle y=\frac{x^{2n}}{k}$ $\displaystyle \lg y=\lg {\frac{x^{2n}}{k}}$ $\displaystyle \lg y=2n\lg x-\lg k$ from the graph , we can see that the gradient is 1/2 so 2n=1/2 , n=1/4 - lg k =-1 lg k=1 k=?? how u get -logk=-1??
Originally Posted by mastermin346 how u get -logk=-1?? -log k is the y-intercept
Originally Posted by mastermin346 how u get -logk=-1?? owh..at point (o,-1), thanks a lot
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