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How do you find the missing base of an exponent? - Answers
To find the missing base of an exponent, you can use logarithms. If you have an equation in the form ( a^x = b ), where ( a ) is the base and ( b ) is the result, you can take the logarithm of both sides: ( x \log(a) = \log(b) ). Then, solve for the missing base ( a ) by rearranging the equation, which may involve exponentiation or using properties of logarithms. Alternatively, if you have a specific value for the exponent and result, you can also use trial and error or graphing methods to estimate the base.
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How do you find the missing base of an exponent? - Answers
To find the missing base of an exponent, you can use logarithms. If you have an equation in the form ( a^x = b ), where ( a ) is the base and ( b ) is the result, you can take the logarithm of both sides: ( x \log(a) = \log(b) ). Then, solve for the missing base ( a ) by rearranging the equation, which may involve exponentiation or using properties of logarithms. Alternatively, if you have a specific value for the exponent and result, you can also use trial and error or graphing methods to estimate the base.
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How do you find the missing base of an exponent? - Answers
To find the missing base of an exponent, you can use logarithms. If you have an equation in the form ( a^x = b ), where ( a ) is the base and ( b ) is the result, you can take the logarithm of both sides: ( x \log(a) = \log(b) ). Then, solve for the missing base ( a ) by rearranging the equation, which may involve exponentiation or using properties of logarithms. Alternatively, if you have a specific value for the exponent and result, you can also use trial and error or graphing methods to estimate the base.
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