What is the answer to log_{6}(24x)-log_{6}(2)=2 ?

The answer to log_{6}(24x)-log_{6}(2)=2 is x=3

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log_{6}(24x)-log_{6}(2)=2

lo g_{6} (24 x) - lo g_{6} (2) = 2

x = 3

Solution steps

lo g_{6} (24 x) - lo g_{6} (2) = 2

Move

lo g_{6} (2)

to the right side

lo g_{6} (24 x) = 2 + lo g_{6} (2)

Apply log rules

24 x = 72

Solve

24 x = 72 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

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

2.73 = - lo g_{10} (x)

lo g_{10} (4 x + 8) - lo g_{10} (3) = 2

y, x = 2 y + ln (y)

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

What is the answer to log_{6}(24x)-log_{6}(2)=2 ?
The answer to log_{6}(24x)-log_{6}(2)=2 is x=3
Solve for x: log_{6}(24x)-log_{6}(2)=2
The solution is x=3