What is the answer to log_{3}(4x)-2log_{3}(x)=2 ?

The answer to log_{3}(4x)-2log_{3}(x)=2 is x= 4/9

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log_{3}(4x)-2log_{3}(x)=2

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

x = \frac{4}{9}

Decimal Notation

x = 0.44444 \dots

Solution steps

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

Apply log rules

x = \frac{4}{9}

Verify Solutions:

x = \frac{4}{9}

True

The solution is

x = \frac{4}{9}

ln (x^{2} + 1) - 3 ln (x) = ln (2)

ln (x) + ln (x + 2) = 0

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

lo g_{3} (7 x - 2) = 5

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

What is the answer to log_{3}(4x)-2log_{3}(x)=2 ?
The answer to log_{3}(4x)-2log_{3}(x)=2 is x= 4/9
Solve for x: log_{3}(4x)-2log_{3}(x)=2
The solution is x= 4/9