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 - 5) = 0

lo g_{7} (2 x - 3) = 2 x

lo g_{5} (- 3 x + 4) = 2

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

100 = 12 \cdot lo g_{1.5} (t) + 7

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