What is the answer to 2log_{2}(x+3)=log_{2}(x+5) ?

The answer to 2log_{2}(x+3)=log_{2}(x+5) is x=-1

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2log_{2}(x+3)=log_{2}(x+5)

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

x = - 1

Solution steps

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

Apply log rules

(x + 3)^{2} = x + 5

Solve

(x + 3)^{2} = x + 5 : x = - 1, x = - 4

x = - 1, x = - 4

Verify Solutions:

x = - 1

True

, x = - 4

False

The solution is

x = - 1

4 ln (4 b) - ln (2 b) = 0

- 0.3 = - 0.56585 - 0.059 ln (x)

lo g_{10} (36) + lo g_{10} (x) = 25

lo g_{2} (x + 2) = 35

lo g_{\frac{1}{2}} (2 x - 3) = 0

What is the answer to 2log_{2}(x+3)=log_{2}(x+5) ?
The answer to 2log_{2}(x+3)=log_{2}(x+5) is x=-1
Solve for x: 2log_{2}(x+3)=log_{2}(x+5)
The solution is x=-1