What is the answer to log_{2}(5n+8)=log_{2}(-3n) ?

The answer to log_{2}(5n+8)=log_{2}(-3n) is n=-1

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log_{2}(5n+8)=log_{2}(-3n)

lo g_{2} (5 n + 8) = lo g_{2} (- 3 n)

n = - 1

Solution steps

lo g_{2} (5 n + 8) = lo g_{2} (- 3 n)

Apply log rules

5 n + 8 = - 3 n

Solve

5 n + 8 = - 3 n : n = - 1

n = - 1

Verify Solutions:

n = - 1

True

The solution is

n = - 1

lo g_{0.04} ([(x + 1) 6]) = 2

lo g_{a} (4) = 1525

lo g_{x} (\frac{1}{49}) = 7

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

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

What is the answer to log_{2}(5n+8)=log_{2}(-3n) ?
The answer to log_{2}(5n+8)=log_{2}(-3n) is n=-1
Solve for n: log_{2}(5n+8)=log_{2}(-3n)
The solution is n=-1