{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Sección 4.7\n",
        "Usarémos sympy para hallar la solución de una ecuación con términos logarítmicos."
      ],
      "metadata": {
        "id": "JqnD0ZPYGkkm"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ay1ca1Aewjmf",
        "outputId": "58b9dab7-05b3-4db1-c0c1-aafc341cc821"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La solución es x = 9/4\n"
          ]
        }
      ],
      "source": [
        "from sympy import symbols, log, solve, Eq, Rational\n",
        "\n",
        "x = symbols('x')\n",
        "\n",
        "# 1. Definir la ecuación\n",
        "# Nota: log(4*x, 27) significa log en base 27 de 4x.\n",
        "# Rational(2, 3) se usa para representar la fracción exacta 2/3.\n",
        "ecuacion = Eq(log(4*x, 27), Rational(2, 3))\n",
        "\n",
        "# 2. Resolver la ecuación\n",
        "solucion = solve(ecuacion, x)\n",
        "\n",
        "# Mostramos la solución\n",
        "print(f\"La solución es x =\", solucion[0])"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Nota. Cuando escribmos \"log\" sin especificar la base, sympy asume que el logaritmo es natural (ln)"
      ],
      "metadata": {
        "id": "qSJhibFBwoMx"
      }
    }
  ]
}