What is the answer to log_{4}((X+3)/4)=-1 ?

The answer to log_{4}((X+3)/4)=-1 is X=-2

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log_{4}((X+3)/4)=-1

lo g_{4} (\frac{X + 3}{4}) = - 1

X = - 2

Solution steps

lo g_{4} (\frac{X + 3}{4}) = - 1

Apply log rules

\frac{X + 3}{4} = 4^{- 1}

Multiply both sides by

4

\frac{X + 3}{4} \cdot 4 = 4^{- 1} \cdot 4

Simplify

4^{- 1} \cdot 4 : 1

X + 3 = 1

Solve

X + 3 = 1 : X = - 2

X = - 2

Verify Solutions:

X = - 2

True

The solution is

X = - 2

lo g_{x} (\frac{27}{8}) = 3

lo g_{4 x} (3) = 2

lo g_{10} (x) = \frac{1}{2}

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

ln (4 x^{2} - 4 x + 1) = 0

What is the answer to log_{4}((X+3)/4)=-1 ?
The answer to log_{4}((X+3)/4)=-1 is X=-2
Solve for X: log_{4}((X+3)/4)=-1
The solution is X=-2