What is the answer to 5log_{3}(x)=-3 ?

The answer to 5log_{3}(x)=-3 is x= 1/(3^{3/5)}

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5log_{3}(x)=-3

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

x = \frac{1}{3 ^{\frac{3}{5}}}

Decimal Notation

x = 0.51728 \dots

Solution steps

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

Divide both sides by

5

lo g_{3} (x) = - \frac{3}{5}

Apply log rules

x = \frac{1}{3 ^{\frac{3}{5}}}

Verify Solutions:

x = \frac{1}{3 ^{\frac{3}{5}}}

True

The solution is

x = \frac{1}{3 ^{\frac{3}{5}}}

y, x = 2 ln (y - 1)

lo g_{3} (x^{2} - x - 5) = 2

x, ln (\frac{15}{x}) = 0

1.023 = ln (\frac{0.01667}{a})

lo g_{4} (4 x + 2) - lo g_{4} (4 - x) = 1

What is the answer to 5log_{3}(x)=-3 ?
The answer to 5log_{3}(x)=-3 is x= 1/(3^{3/5)}
Solve for x: 5log_{3}(x)=-3
The solution is x= 1/(3^{3/5)}