What is the answer to 2log_{10}(x+5)=log_{10}(x+7) ?

The answer to 2log_{10}(x+5)=log_{10}(x+7) is x=-3

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2log_{10}(x+5)=log_{10}(x+7)

2 lo g_{10} (x + 5) = lo g_{10} (x + 7)

x = - 3

Solution steps

2 lo g_{10} (x + 5) = lo g_{10} (x + 7)

Apply log rules

(x + 5)^{2} = x + 7

Solve

(x + 5)^{2} = x + 7 : x = - 3, x = - 6

x = - 3, x = - 6

Verify Solutions:

x = - 3

True

, x = - 6

False

The solution is

x = - 3

ln (x) - ln (x - 4) = 4

lo g_{8} (x) = \frac{7}{3}

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

lo g_{3} (x - 6) = lo g_{9} (x)

lo g_{9} (x) = - \frac{1}{2}

What is the answer to 2log_{10}(x+5)=log_{10}(x+7) ?
The answer to 2log_{10}(x+5)=log_{10}(x+7) is x=-3
Solve for x: 2log_{10}(x+5)=log_{10}(x+7)
The solution is x=-3