What is the answer to 5log_{3}(x)=2 ?

The answer to 5log_{3}(x)=2 is x=3^{2/5}

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5log_{3}(x)=2

5 lo g_{3} (x) = 2

x = 3^{\frac{2}{5}}

Decimal Notation

x = 1.55184 \dots

Solution steps

5 lo g_{3} (x) = 2

Divide both sides by

5

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

Apply log rules

x = 3^{\frac{2}{5}}

Verify Solutions:

x = 3^{\frac{2}{5}}

True

The solution is

x = 3^{\frac{2}{5}}

y, 4 ln (y + 4) = 2 e^{x} + c

ln (x) = ln (1) - 1.34

a^{l o g_{a} (x)} = x

lo g_{10} (x + 6) = lo g_{10} (2 x - 1)

\frac{1}{2} ln (x) + c = 0