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Popular >

simplify log_{4}(4/x)

Solution

simplify

lo g_{4} (\frac{4}{x})

Solution

1 - lo g_{4} (x)

Solution steps

lo g_{4} (\frac{4}{x})

Apply log rule:

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

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

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

lo g_{4} (4) = 1

= 1 - lo g_{4} (x)

Popular Examples

simplify log_{10}(2)+log_{10}(12)simplify

lo g_{10} (2) + lo g_{10} (12)

simplify (log_{10}(8)sqrt(3)+log_{10}(9)sqrt(3))/(log_{10)(6)}simplify

\frac{lo g _{10} ( 8 ) 3 + lo g _{10} ( 9 ) 3}{lo g _{10} ( 6 )}

expand log_{10}(x/y)expand

lo g_{10} (\frac{x}{y})

ln ((ln (x))^{x})

simplify ln(2e^6)simplify

ln (2 e^{6})

Frequently Asked Questions (FAQ)

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