A dolphin is at the surface of the ocean. What is the dolphin’s elevation? The dolphin dives 20 feet below the surface of the ocean. What is its new elevation?

It's elevation at the surface is 0, and the elevation twenty feet below is -20.

Step-by-step explanation:

The surface level is 0, and diving 20 feet under means 0 - 20, which is negative 20, or -20.

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:

ιт ιѕ 12 αв

нσρє ι ¢συℓ∂ нєℓρ уα