What is the answer to log_{10}((x(x-3))/4)=0 ?

The answer to log_{10}((x(x-3))/4)=0 is x=4,x=-1

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log_{10}((x(x-3))/4)=0

lo g_{10} (\frac{x ( x - 3 )}{4}) = 0

x = 4, x = - 1

Solution steps

lo g_{10} (\frac{x ( x - 3 )}{4}) = 0

Apply log rules

\frac{x ( x - 3 )}{4} = 1 0^{0}

Multiply both sides by

4

\frac{x ( x - 3 )}{4} \cdot 4 = 1 0^{0} \cdot 4

Simplify

x (x - 3) = 4

Solve

x (x - 3) = 4 : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions:

x = 4

True

, x = - 1

True

The solutions are

x = 4, x = - 1

lo g_{6} (3^{x}) = x^{2}

ln (x) = - 0.5

x, f^{- 1} (x) = ln (x)

x, ln (x) - ln (x - 1) = 1

x, ln (x) - ln (x - 1) = t

What is the answer to log_{10}((x(x-3))/4)=0 ?
The answer to log_{10}((x(x-3))/4)=0 is x=4,x=-1
Solve for x: log_{10}((x(x-3))/4)=0
The solution is x=4,x=-1