# Solving equation with sums and exponential

I'm a bit stuck with the following equation which I have to solve for $K^T$

$$\sum_{i=1}^n a_i\exp(-K^Tx_i)x_i^T=P^T$$

Hope you can help! Thanks. Joe

• Are the $T$ superscripts supposed to be transposes? Is the thing in the exponential then $\vec K \cdot \vec x$? Or are the $T$s powers? MathJax hint: if you put a backslash before common functions you get the right font and spacing, so \exp x gives $\exp x$ in contrast to exp x which gives $exp x$ – Ross Millikan Nov 15 '17 at 16:42
• Hi yes the T are transposes – user8642116 Nov 15 '17 at 16:45
• It looks like there is something wrong in the indexing. The argument of the exponential needs to be a scalar, or maybe a square matrix, which is why I asked about the dot product. Please check. As written the left side is a number and the right is a vector (transpose) – Ross Millikan Nov 15 '17 at 16:47