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andreev551 [17]
3 years ago
15

Log_2(log_5 x) =3 show steps

Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0
Use the definition of a logarithm
If Log(x) = y ; then b^y = x

Log_{2} (Log_{5} (x)) = 3 \\ \\ 
2^{3} = Log_{5} (x) 
\\ \\ 8 = Log_{5} (x) 
\\ \\ x = 5^{8} 
\\ \\ x = 390,625

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