Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)

log7(x-2)

Step-by-step explanation:

Use of property: log(ab) = log(a) + log(b)

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950