What is the answer to solvefor x,log_{x}(400)=2 ?

The answer to solvefor x,log_{x}(400)=2 is x=20

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Solve for x log base x of 400=2

solve for

x, lo g_{x} (400) = 2

x = 20

Solution steps

lo g_{x} (400) = 2

Apply log rules

\frac{1}{lo g _{400} ( x )} = 2

Multiply both sides by

lo g_{400} (x)

\frac{1}{lo g _{400} ( x )} lo g_{400} (x) = 2 lo g_{400} (x)

Simplify

1 = 2 lo g_{400} (x)

Switch sides

2 lo g_{400} (x) = 1

Divide both sides by

2

lo g_{400} (x) = \frac{1}{2}

Apply log rules

x = 20

Verify Solutions:

x = 20

True

The solution is

x = 20

f (x) = x^{3} - 2 x^{2} - 25 x + 50

\frac{( 14 - 13 )}{( 14 + 13 )}

x^{2} + 2 x - 5 = 0

5 x^{5} - 9 x^{3} + 2 x^{11} + 6

\frac{( 20 270 )}{( 4 3 )}

What is the answer to solvefor x,log_{x}(400)=2 ?
The answer to solvefor x,log_{x}(400)=2 is x=20