What is the answer to log_{3}(9x)+3log_{3}(4)=0 ?

The answer to log_{3}(9x)+3log_{3}(4)=0 is x= 1/576

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log_{3}(9x)+3log_{3}(4)=0

lo g_{3} (9 x) + 3 lo g_{3} (4) = 0

x = \frac{1}{576}

Solution steps

lo g_{3} (9 x) + 3 lo g_{3} (4) = 0

Move

3 lo g_{3} (4)

to the right side

lo g_{3} (9 x) = - 3 lo g_{3} (4)

Apply log rules

9 x = \frac{1}{64}

Solve

9 x = \frac{1}{64} : x = \frac{1}{576}

x = \frac{1}{576}

Verify Solutions:

x = \frac{1}{576}

True

The solution is

x = \frac{1}{576}

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

ln (k) = 6.788

lo g_{3} (x + 4) = 3

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

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

What is the answer to log_{3}(9x)+3log_{3}(4)=0 ?
The answer to log_{3}(9x)+3log_{3}(4)=0 is x= 1/576
Solve for x: log_{3}(9x)+3log_{3}(4)=0
The solution is x= 1/576