What is the answer to 2log_{10}(x-2)-log_{10}(x)=0 ?

The answer to 2log_{10}(x-2)-log_{10}(x)=0 is x=4

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2log_{10}(x-2)-log_{10}(x)=0

2 lo g_{10} (x - 2) - lo g_{10} (x) = 0

x = 4

Solution steps

2 lo g_{10} (x - 2) - lo g_{10} (x) = 0

Apply log rules

(x - 2)^{2} = x

Solve

(x - 2)^{2} = x : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

False

The solution is

x = 4

lo g_{10} (x) 64 = 3

5 ln (3 x + 3) + 19 = 59

lo g_{10} (y) = 2.8

2.4 = - lo g_{10} (x)

ln ((x - 3)^{4}) = 8

What is the answer to 2log_{10}(x-2)-log_{10}(x)=0 ?
The answer to 2log_{10}(x-2)-log_{10}(x)=0 is x=4
Solve for x: 2log_{10}(x-2)-log_{10}(x)=0
The solution is x=4