What is the answer to log_{3}(4x)-log_{3}(8)=3 ?

The answer to log_{3}(4x)-log_{3}(8)=3 is x=54

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log_{3}(4x)-log_{3}(8)=3

lo g_{3} (4 x) - lo g_{3} (8) = 3

x = 54

Solution steps

lo g_{3} (4 x) - lo g_{3} (8) = 3

Move

lo g_{3} (8)

to the right side

lo g_{3} (4 x) = 3 + lo g_{3} (8)

Apply log rules

4 x = 216

Solve

4 x = 216 : x = 54

x = 54

Verify Solutions:

x = 54

True

The solution is

x = 54

x, lo g_{2} (x) = y + c

lo g_{x - 1} (4 + 3 x - x^{2}) = 2

ln (x) + ln (x + 1) = 5

ln (x - 3) - ln (x - 5) = ln (5)

ln (x) + 2 = 0

What is the answer to log_{3}(4x)-log_{3}(8)=3 ?
The answer to log_{3}(4x)-log_{3}(8)=3 is x=54
Solve for x: log_{3}(4x)-log_{3}(8)=3
The solution is x=54