PLEASE HELP! A news story needs to be shared 1,500,000 times in 5 days to get featured on a talk show. The exponential model y=5⋅7x represents the number of shares, y, a news story receives in x days.

About how many days will it take for a news story to reach 1,500,000 shares?

It will take 8.17 days for a news story to reach 1,500,000 shares.

Step-by-step explanation:

Note: The correct exponential model is as follows:

y = 5⋅7^x (1)

Where:

y = 1,500,000

x = ?

Substituting y = 1,500,000 into equation (1), we have:

1,500,000 = 5⋅7^x (2)

Taking the natural log of both sides of equation (2) and solve for x, we have:

ln1,500,000 = xln5.7

x = ln1,500,000 / ln5.7

x = 14.2209756660724 / 1.7404661748405

x = 8.17241379310345

Approximating to 2 decimall places, we have:

x = 8.17

Therefore, it will take 8.17 days for a news story to reach 1,500,000 shares.

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