What is the exponential form of ${log}_{4} x = 32$ $log_4 x=32$ ?

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What is the exponential form of ${log}_{4} x = 32$ $log_4 x=32$ ?

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Answer 1 · 2014-09-10T21:35:11

The base of the logarithm becomes the base of the exponent. The value that the logarithm is set equal to becomes the the power of exponent. The value you are taking the logarithm of is what you set your exponent equal to.

${log}_{4} x = 32$ $log_4 x = 32$

becomes

$x = 4^{32}$ $x=4^32$

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What is the exponential form of ${log}_{4} x = 32$ $log_4 x=32$ ?

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What is the exponential form of ${log}_{4} x = 32$ $log_4 x=32$ ?