What is the domain of f(x)=log_{10}(log_{|sin(x)|}(x^2-8x+23)-3/(log_{2)(|sin(x)|)}) ?

The domain of f(x)=log_{10}(log_{|sin(x)|}(x^2-8x+23)-3/(log_{2)(|sin(x)|)}) is Undefined

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domain of f(x)=log_{10}(log_{|sin(x)|}(x^2-8x+23)-3/(log_{2)(|sin(x)|)})

domain

f (x) = lo g_{10} (lo g_{∣ s i n (x) ∣} (x^{2} - 8 x + 23) - \frac{3}{lo g _{2} ( ∣ sin ( x ) ∣ )})

Undefined

Solution steps

Find positive values for logs:

False for all

x \in R

Undefined

\frac{8 x + 9}{7 x - 8}

f (x) = \frac{x + 5}{( x - 7 ) ( x - 2 )}

f (x) = 5 + 4 x - x^{2}

y = 5 x - 3

\frac{x ^{2} - 4 x + 3}{x ^{2} - 1}

What is the domain of f(x)=log_{10}(log_{|sin(x)|}(x^2-8x+23)-3/(log_{2)(|sin(x)|)}) ?
The domain of f(x)=log_{10}(log_{|sin(x)|}(x^2-8x+23)-3/(log_{2)(|sin(x)|)}) is Undefined