What is the answer to 3log_{3}(3x)=1 ?

The answer to 3log_{3}(3x)=1 is x= 1/(3^{2/3)}

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3log_{3}(3x)=1

3 lo g_{3} (3 x) = 1

x = \frac{1}{3 ^{\frac{2}{3}}}

Decimal Notation

x = 0.48074 \dots

Solution steps

3 lo g_{3} (3 x) = 1

Divide both sides by

3

lo g_{3} (3 x) = \frac{1}{3}

Apply log rules

Solve

x = \frac{1}{3 ^{\frac{2}{3}}}

Verify Solutions:

x = \frac{1}{3 ^{\frac{2}{3}}}

True

The solution is

x = \frac{1}{3 ^{\frac{2}{3}}}

lo g_{2} (x) - lo g_{2} (x + 3) = 1

ln (4 x) + ln (3) = ln (5 x + 8)

0.49 x = lo g_{10} (x)

- 4 = - 2 ln (x - 5)

- ln (12) - ln (4) = ln (a)

What is the answer to 3log_{3}(3x)=1 ?
The answer to 3log_{3}(3x)=1 is x= 1/(3^{2/3)}
Solve for x: 3log_{3}(3x)=1
The solution is x= 1/(3^{2/3)}