Ecuación logarítmica

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Logarithmic equations

To solve logarithmic equations it will be useful for you to remember these basic properties of logarithms:

To solve a basic logarithmic equation, only rewrite the equation in exponential form and solve for the variable.

Solve: log₂512 = -3x+9

512 = 2^-3x+9 <=> 2⁹= 2^-3x+9 <=> 9=-3x+9 <=> 3x = 0 <=> x = 0

Solve: log₄(5x+6) = 4

5x+6=4⁴ <=> 5x+6=256 <=> 5x=250 <=> x=50

log₃(9x) = 4
Solution: x =