What is the answer to log_{6}(3x)+2log_{6}(3)=4 ?

The answer to log_{6}(3x)+2log_{6}(3)=4 is x=48

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log_{6}(3x)+2log_{6}(3)=4

lo g_{6} (3 x) + 2 lo g_{6} (3) = 4

x = 48

Solution steps

lo g_{6} (3 x) + 2 lo g_{6} (3) = 4

Move

2 lo g_{6} (3)

to the right side

lo g_{6} (3 x) = 4 - 2 lo g_{6} (3)

Apply log rules

3 x = 144

Solve

3 x = 144 : x = 48

x = 48

Verify Solutions:

x = 48

True

The solution is

x = 48

3 ln (2 x + 1) = 12

2 = lo g_{x} (625)

lo g_{3} (x + 2) = 1.732

lo g_{10} (\frac{1}{x}) = - 8.45

lo g_{32} (x) = 2

What is the answer to log_{6}(3x)+2log_{6}(3)=4 ?
The answer to log_{6}(3x)+2log_{6}(3)=4 is x=48
Solve for x: log_{6}(3x)+2log_{6}(3)=4
The solution is x=48