Exponential Equations
R80.50
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Resource Description
𝐴𝑛 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑤h𝑒𝑟𝑒 𝑡h𝑒 𝑒𝑥𝑝𝑜𝑛𝑒𝑛𝑡 𝑖𝑠 𝑎𝑛 𝑢𝑛𝑘𝑛𝑜𝑤𝑛 An equation where the exponent is an unknown
𝑖𝑠 𝑐𝑎𝑙𝑙𝑒𝑑 𝑒𝑥𝑝𝑜𝑛𝑒𝑛𝑡𝑖𝑎𝑙 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛. is called an exponential equation.
𝑆𝑢𝑐h 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛𝑠 𝑐𝑎𝑛 𝑏𝑒 𝑠𝑜𝑙𝑣𝑒𝑑 𝑏𝑦 𝑎𝑝𝑝𝑙𝑦𝑖𝑛𝑔 𝑟𝑢𝑙𝑒𝑠 Such equations can be solved by applying rules
𝑜𝑓 𝑖𝑛𝑑𝑖𝑐𝑒𝑠 𝑎𝑛𝑑 𝑏𝑦 𝑒𝑥𝑝𝑟𝑒𝑠𝑠𝑖𝑛𝑔 𝑏𝑜𝑡h 𝑠𝑖𝑑𝑒𝑠 𝑜𝑓 𝑠𝑢𝑐h of indices and by expressing both sides of such
𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 𝑖𝑛 𝑡𝑒𝑟𝑚 𝑜𝑓 𝑡h𝑒 𝑠𝑎𝑚𝑒 𝑏𝑎𝑠𝑒. equation in term of the same base.