Examples -> Algebra -> Exponential equations and inequalities -> Exponential equations

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Solve the following equation. $${2}^{x-3}=16$$ |

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Solve the following equation. $${16}^{\frac{1}{x}}={4}^{\frac{x}{2}}$$ |

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Solve the following equation. $${4}^{x+1}+{4}^{x}=320$$ |

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Solve the following equation. $${2}^{x-1}-{2}^{x-3}={3}^{x-2}-{3}^{x-3}$$ |

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Solve the following equation. $${5}^{x}-{5}^{3-x}=20$$ |

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Solve the following equation. $${3}^{\frac{x-1}{2}}-{2}^{\frac{x+1}{3}}={2}^{\frac{x-2}{3}}+{3}^{\frac{x-3}{2}}$$ |

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Evaluate the following expression: $${7}^{x+2}+2\times {7}^{x-1}=345\phantom{\rule{0ex}{0ex}}$$ |

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Solve the following equation on the set of real numbers! ${2}^{x}=10$ |