What is the answer to log_{10}(2x-6)=log_{10}(6-x) ?

The answer to log_{10}(2x-6)=log_{10}(6-x) is x=4

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log_{10}(2x-6)=log_{10}(6-x)

lo g_{10} (2 x - 6) = lo g_{10} (6 - x)

x = 4

Solution steps

lo g_{10} (2 x - 6) = lo g_{10} (6 - x)

Apply log rules

2 x - 6 = 6 - x

Solve

2 x - 6 = 6 - x : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

ln (x^{3} + 19) = 3 ln (x + 1)

- 2 lo g_{5} (2 b + 7) = 9

lo g_{4} (5 x - 6) = 4

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

(lo g_{10} (x^{2}))^{2} = 1

What is the answer to log_{10}(2x-6)=log_{10}(6-x) ?
The answer to log_{10}(2x-6)=log_{10}(6-x) is x=4
Solve for x: log_{10}(2x-6)=log_{10}(6-x)
The solution is x=4