What is the answer to log_{x}(x)log_{x}(x)3=3 ?

The answer to log_{x}(x)log_{x}(x)3=3 is 0 1

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log_{x}(x)log_{x}(x)3=3

lo g_{x} (x) lo g_{x} (x) 3 = 3

0 < x < 1 or x > 1

Solution steps

lo g_{x} (x) lo g_{x} (x) \cdot 3 = 3

Divide both sides by

3

\frac{lo g _{x} ( x ) lo g _{x} ( x ) \cdot 3}{3} = \frac{3}{3}

Simplify

\frac{lo g _{x} ( x ) lo g _{x} ( x ) \cdot 3}{3} : lo g_{x} (x)^{2}

lo g_{x} (x)^{2} = 1

Rewrite the equation with

lo g_{x} (x) = u

u^{2} = 1

Solve

u^{2} = 1 : u = 1, u = - 1

u = 1, u = - 1

Substitute back

u = lo g_{x} (x),

solve for

x

Solve

lo g_{x} (x) = 1 : 0 < x < 1 or x > 1

Solve

lo g_{x} (x) = - 1 :

No Solution for

x \in R

0 < x < 1 or x > 1

Verify Solutions:

0 < x < 1 or x > 1

The solution is

0 < x < 1 or x > 1

- lo g_{2} (x) = 0.38

lo g_{3} (8 - 2 x) = 2

10.99 = - lo g_{10} (k)

lo g_{2} (5 \cdot x) = 3

x, ln (x) + ln (y) = ln (c)

What is the answer to log_{x}(x)log_{x}(x)3=3 ?
The answer to log_{x}(x)log_{x}(x)3=3 is 0<x<1\lor x>1
Solve for x: log_{x}(x)log_{x}(x)3=3
The solution is 0<x<1\lor x>1