Question

Determine the value of log2(512)

Answer 1

log 512 to the base 2
 = log 2 power 9 to the base 2
=9*log2 to the base 2
=9*1 
=9
∴log 512 to the base 2 = 9

Answer 2

Answer:

$The \: value \: x = log_{2}512= 9$

Step-by-step explanation:

$Let \: x = log_{2}512$

$\implies x = log_{2}2^{9}$

$\implies x = 9\times log_{2}2$

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$By \: the \: logarithmic\:laws:\\</p><p>1) log_{a}m^{n} = nlog_{a}m\\</p><p>2) log_{a}a = 1$

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$\implies x = 9$

Therefore,

$The \: value \: x = log_{2}512= 9$

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