How do you change $10^{- 4} = 0.0001$ $10^-4 = 0.0001$ into log form?

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Answer 1 · 2016-06-14T13:19:45

$log 0.0001 = - 4$ $log0.0001=-4$

As $a^{b} = x$ $a^b=x$ changes into ${log}_{a} x = b$ $log_ax=b$

$10^{- 4} = 0.0001$ $10^(-4)=0.0001$ changes into ${log}_{10} 0.0001 = - 4$ $log_(10)0.0001=-4$

or $log 0.0001 = - 4$ $log0.0001=-4$

The latter is due to reason that if base is not mentioned, it is assumed to be $10$ $10$

How do you change 10−4=0.000110^-4 = 0.0001 into log form?