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Given the exponential equation 3x = 27, what is the logarithmic form of the equation in base 10?
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\[3^x = 27?\] like that right.
x = log base 10 of 3, all over log base 10 of 27 x=log103log1027 x = log base 10 of 27, all over log base 10 of 3 log1027log103 x = log base 2 of 3, all over log base 2 of 27 x = log base 2 of 10, all over log base 2 of 3
written in standard log is: log3 (27) = x
3x=27
K, well you have to know that exponents and logarithm are the inverse of each other, so if you have \[\huge a^b=c \implies \log_a c= b\]
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