query: number of real solution of exponential equation
positive_passages.docid: 153170
positive_passages.text: Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$
negative_passages.docid: 103832
negative_passages.text: Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
negative_passages.docid: 55562
negative_passages.text: Number of total possibilities for an equation
negative_passages.docid: 49899
negative_passages.text: Determine the number of real roots
negative_passages.docid: 15314
negative_passages.text: Number of solutions to $x^n \equiv 1 \mod p$
negative_passages.docid: 100759
negative_passages.text: Extending exponentiation to reals
negative_passages.docid: 23866
negative_passages.text: Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?
negative_passages.docid: 109721
negative_passages.text: The number of zeros in a polynomial
negative_passages.docid: 17082
negative_passages.text: Number of real roots of $2 \cos\left(\frac{x^2+x}{6}\right)=2^x+2^{-x}$
negative_passages.docid: 30749
negative_passages.text: The Number of Exponential Summands in a Fixed Interval is Poisson
negative_passages.docid: 6638
negative_passages.text: Solve the equation. e and natural logs
negative_passages.docid: 16713
negative_passages.text: Product of an exponential function of IDD variables
negative_passages.docid: 142725
negative_passages.text: The general solution of $x^a = a^x$ for real $a >0$
negative_passages.docid: 14773
negative_passages.text: Finding distinct solutions for the equation
negative_passages.docid: 126689
negative_passages.text: Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$
negative_passages.docid: 154610
negative_passages.text: Number of solutions for the given equation in finite field of order 32.
negative_passages.docid: 77024
negative_passages.text: Find the number of solutions of $x^2=x\mod m$ for any integer $m$