Log8 (x^2+5x)=log8 (x^2+3)

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To solve this equation, we can use the property of logarithms that says if loga (x) = loga (y), then x = y.

Therefore, we have:

x^2 + 5x = x^2 + 3

Subtracting x^2 from both sides:

5x = 3

Dividing by 5:

x = 3/5

So, the solution to the equation log8 (x^2 + 5x) = log8 (x^2 + 3) is x = 3/5.