What is log_{2}((4000000)/(1/(65536*4000000)*1)) ?

The solution to log_{2}((4000000)/(1/(65536*4000000)*1)) is 2log_{2}(2000)+log_{2}(262144000000)

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simplify log_{2}((4000000)/(1/(655364000000)1))

simplify

lo g_{2} (\frac{4000000}{\frac{1}{65536 \cdot 4000000} \cdot 1})

2 lo g_{2} (2000) + lo g_{2} (262144000000)

Decimal Notation

59.86313 \dots

Solution steps

lo g_{2} (\frac{4000000}{\frac{1}{65536 \cdot 4000000} \cdot 1})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{2} (\frac{4000000}{\frac{1}{65536 \cdot 4000000} \cdot 1}) = lo g_{2} (4000000) - lo g_{2} (\frac{1}{65536 \cdot 4000000} \cdot 1)

= lo g_{2} (4000000) - lo g_{2} (1 \cdot \frac{1}{65536 \cdot 4000000})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{2} (\frac{1}{65536 \cdot 4000000} \cdot 1) = lo g_{2} (\frac{1}{65536 \cdot 4000000}) + lo g_{2} (1)

= lo g_{2} (4000000) - (lo g_{2} (1) + lo g_{2} (\frac{1}{65536 \cdot 4000000}))

- (lo g_{2} (\frac{1}{65536 \cdot 4000000}) + lo g_{2} (1)) = lo g_{2} (262144000000)

= lo g_{2} (4000000) + lo g_{2} (262144000000)

lo g_{2} (4000000) = 2 lo g_{2} (2000)

= 2 lo g_{2} (2000) + lo g_{2} (262144000000)

\frac{1}{3} ln (\frac{91}{30})

- \frac{663 ln ( \frac{13}{133} )}{8}

5 lo g_{2} (m) - 2 lo g_{2} (n)

ln (5.9 \cdot e^{7})

ln (x) + \frac{ln ( x ) - ln ( y )}{1 - 2}

What is log_{2}((4000000)/(1/(65536*4000000)*1)) ?
The solution to log_{2}((4000000)/(1/(65536*4000000)*1)) is 2log_{2}(2000)+log_{2}(262144000000)