loga=log(4a-9)

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Solution for loga=log(4a-9) equation:


Simplifying
loga = log(4a + -9)

Reorder the terms:
aglo = glo(-9 + 4a)
aglo = (-9 * glo + 4a * glo)

Reorder the terms:
aglo = (4aglo + -9glo)
aglo = (4aglo + -9glo)

Solving
aglo = 4aglo + -9glo

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4aglo' to each side of the equation.
aglo + -4aglo = 4aglo + -4aglo + -9glo

Combine like terms: aglo + -4aglo = -3aglo
-3aglo = 4aglo + -4aglo + -9glo

Combine like terms: 4aglo + -4aglo = 0
-3aglo = 0 + -9glo
-3aglo = -9glo

Divide each side by '-3glo'.
a = 3

Simplifying
a = 3

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