motionlessbutt
motionlessbutt
27-11-2017
Mathematics
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Log_2(log_5 x) =3 show steps
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Catya
Catya
27-11-2017
Use the definition of a logarithm
If Log(x) = y ; then b^y = x
[tex]Log_{2} (Log_{5} (x)) = 3 \\ \\ 2^{3} = Log_{5} (x) \\ \\ 8 = Log_{5} (x) \\ \\ x = 5^{8} \\ \\ x = 390,625[/tex]
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