What is the answer to (9/5)log_{4}(x)=-2 ?

The answer to (9/5)log_{4}(x)=-2 is x= 1/(4\sqrt[9]{4)}

Solve for x: (9/5)log_{4}(x)=-2

The solution is x= 1/(4\sqrt[9]{4)}

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(\frac{9}{5}) lo g_{4} (x) = - 2

Decimal Notation

x = 0.21431 \dots

Solution steps

(\frac{9}{5}) lo g_{4} (x) = - 2

Multiply both sides by

5

9 lo g_{4} (x) = - 10

Divide both sides by

9

lo g_{4} (x) = - \frac{10}{9}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{3} (x - 2) + lo g_{3} (x + 6) = 2

5 ln (4 x + 4) + 4 = - 11

ln (2 x + 1) - ln (x - 3) = 2

1.034 = - 1.48 + 1.04 ln (x)

lo g_{4} (2 x - 12) = 3

What is the answer to (9/5)log_{4}(x)=-2 ?
The answer to (9/5)log_{4}(x)=-2 is x= 1/(4\sqrt[9]{4)}
Solve for x: (9/5)log_{4}(x)=-2
The solution is x= 1/(4\sqrt[9]{4)}