10^4 = 10000 in logarithmic form  

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We have to write it in the form x = a^y, so we have 10,000 = 10^4. I don't know if you know this, but the form for the logarithm is y = (log_a) x (read as y is the logarithm of x to the base a.) So now we just plug our numbers into the formula. We get 4 = (log_10) 10,000.