What is log_{x}(((4x+5))/((6-5x)))<-1 ?

The solution to log_{x}(((4x+5))/((6-5x)))<-1 is 1/2 <x<1

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log_{x}(((4x+5))/((6-5x)))<-1

lo g_{x} (\frac{( 4 x + 5 )}{( 6 - 5 x )}) < - 1

\frac{1}{2} < x < 1

Interval Notation

(\frac{1}{2}, 1)

Decimal Notation

0.5 < x < 1

Solution steps

lo g_{x} (\frac{4 x + 5}{6 - 5 x}) < - 1

Apply log rules

\frac{1}{2} < x < 1

lo g_{10} (x) + lo g_{10} (x + 3) < 1

lo g_{x} (4 x - 3) \geq 2

lo g_{2} (lo g_{4} (lo g_{5} (x))) > 0

lo g_{3} (3 x - 4) > - 2

1 - 4 ln (x) < 17

What is log_{x}(((4x+5))/((6-5x)))<-1 ?
The solution to log_{x}(((4x+5))/((6-5x)))<-1 is 1/2 <x<1