What is the answer to 2log_{10}(x)=log_{10}(5x-6) ?

The answer to 2log_{10}(x)=log_{10}(5x-6) is x=3,x=2

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2log_{10}(x)=log_{10}(5x-6)

2 lo g_{10} (x) = lo g_{10} (5 x - 6)

x = 3, x = 2

Solution steps

2 lo g_{10} (x) = lo g_{10} (5 x - 6)

Apply log rules

x^{2} = 5 x - 6

Solve

x^{2} = 5 x - 6 : x = 3, x = 2

x = 3, x = 2

Verify Solutions:

x = 3

True

, x = 2

True

The solutions are

x = 3, x = 2

ln (x - 1) - ln (6 - x) = 0

lo g_{6} (25) = 2 lo g_{6} (x)

ln ((x - 2) (x - \frac{1}{2})) = 0

lo g_{2} (x - 5) + lo g_{2} (x + 5) = 5

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

What is the answer to 2log_{10}(x)=log_{10}(5x-6) ?
The answer to 2log_{10}(x)=log_{10}(5x-6) is x=3,x=2
Solve for x: 2log_{10}(x)=log_{10}(5x-6)
The solution is x=3,x=2