Si la hipotenusa y un cateto de un triángulo rectángulo miden 14 m y 7 m, ¿cuánto medirá el área de otro
triángulo cuyo cateto menor mide 12 m y es semejante al primero? (tiene los mismos ángulos)

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: