Which algebraic expression represents the phrase below? four less than the product of twice a number and eight

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Step-by-step explanation:

Let x represent the number.

We are asked to write an algebraic expression for the given phrase.

Phrase: Four less than the product of twice a number and eight.

Since our number is x, so twice the number would be .

The product of twice a number and eight would be

Four less than the product of twice a number and eight would be .

Therefore, our required expression would be .

7

step-by-step explanation:

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: