What is log_{2}(log_{4}(log_{5}(x)))>0 ?

The solution to log_{2}(log_{4}(log_{5}(x)))>0 is x>625

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log_{2}(log_{4}(log_{5}(x)))>0

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

x > 625

Interval Notation

(625, \infty)

Solution steps

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

Apply log rules

x > 625

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

1 - 4 ln (x) < 17

lo g_{4} (x) < 0

(lo g_{10} (0.5 x))^{2} + lo g_{10} (0.5 x) - 2 \leq 0

lo g_{\frac{1}{2}} (x^{2} - 1) \geq lo g_{\frac{1}{2}} (3 x)

What is log_{2}(log_{4}(log_{5}(x)))>0 ?
The solution to log_{2}(log_{4}(log_{5}(x)))>0 is x>625