What is log_{4}((64)/(sqrt(x+5))) ?

The solution to log_{4}((64)/(sqrt(x+5))) is 3-log_{4}(sqrt(x+5))

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simplify log_{4}((64)/(sqrt(x+5)))

simplify

lo g_{4} (\frac{64}{x + 5})

3 - lo g_{4} (x + 5)

Solution steps

lo g_{4} (\frac{64}{x + 5})

Apply log rule:

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

lo g_{4} (\frac{64}{x + 5}) = lo g_{4} (64) - lo g_{4} (x + 5)

= lo g_{4} (64) - lo g_{4} (x + 5)

lo g_{4} (64) = 3

= 3 - lo g_{4} (x + 5)

(570 (10.5)) ln (\frac{1.5}{10.5})

\frac{4 ln ( \frac{38}{45} )}{ln ( 10 )}

\frac{1}{4} lo g_{10} (945)

ln (x \cdot e^{x})

2 lo g_{10} (x) - 4 lo g_{10} (y)

What is log_{4}((64)/(sqrt(x+5))) ?
The solution to log_{4}((64)/(sqrt(x+5))) is 3-log_{4}(sqrt(x+5))