What is log_{2}((16)/(sqrt(x-1))) ?

The solution to log_{2}((16)/(sqrt(x-1))) is 4-log_{2}(sqrt(x-1))

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simplify log_{2}((16)/(sqrt(x-1)))

simplify

lo g_{2} (\frac{16}{x - 1})

4 - lo g_{2} (x - 1)

Solution steps

lo g_{2} (\frac{16}{x - 1})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{2} (\frac{16}{x - 1}) = lo g_{2} (16) - lo g_{2} (x - 1)

= lo g_{2} (16) - lo g_{2} (x - 1)

lo g_{2} (16) = 4

= 4 - lo g_{2} (x - 1)

\frac{1}{2} lo g_{10} (3)

ln (4) + ln (3)

lo g_{7} (x) + lo g_{7} (y)

- ln (2) + ln (3)

ln (\frac{5 x 1 + 3 x}{( x - 4 ) ^{3}})

What is log_{2}((16)/(sqrt(x-1))) ?
The solution to log_{2}((16)/(sqrt(x-1))) is 4-log_{2}(sqrt(x-1))