What is log_{3}(sqrt(27+log_{3)(81)}) ?

The solution to log_{3}(sqrt(27+log_{3)(81)}) is log_{3}(sqrt(31))

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simplify log_{3}(sqrt(27+log_{3)(81)})

simplify

lo g_{3} (27 + lo g_{3} (81))

lo g_{3} (31)

Solution steps

lo g_{3} (27 + lo g_{3} (81))

lo g_{3} (81) = 4

= lo g_{3} (27 + 4)

Add the numbers:

27 + 4 = 31

= lo g_{3} (31)

s (s + 1) (s + 3)

(1 - a)^{3}

(6 y^{2} + 2 x^{2} - 5 x y) (3 x^{2} - 4 y^{2} + 2 x y)

(x + 7) (x + 1)

(x + 7) (x + 4)

What is log_{3}(sqrt(27+log_{3)(81)}) ?
The solution to log_{3}(sqrt(27+log_{3)(81)}) is log_{3}(sqrt(31))