How do you write the equation ${log}_{27} 3 = \frac{1}{3}$ $log_27 3=1/3$ into exponential form?

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Answer 1 · 2016-11-07T11:39:55

${log}_{27} 3 = \frac{1}{3} \Rightarrow 27^{\frac{1}{3}} = 3$ $log_(27)3=1/3=>27^(1/3)=3$

definition of a logarithm

${log}_{a} b = c \Rightarrow a^{c} = b$ $log_ab=c=>a^c=b$

so, ${log}_{27} 3 = \frac{1}{3} \Rightarrow 27^{\frac{1}{3}} = 3$ $log_(27)3=1/3=>27^(1/3)=3$

How do you write the equation log_27 3=1/3log273=13log_27 3=1/3 into exponential form?