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

The answer to 2log_{10}(x)=log_{10}(5x+6) is x=6

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

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

x = 6

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 = 6, x = - 1

x = 6, x = - 1

Verify Solutions:

x = 6

True

, x = - 1

False

The solution is

x = 6

2 ln (8 x + 9) - 1 = - 5

ln ∣ x ∣ = x

lo g_{3} (x + 6) = 2

lo g_{2} (x + 15) = 4

lo g_{16} (lo g_{2} (x)) = 0.5

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