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Paladinen [302]
2 years ago
12

Solve for x if log(2x-7) = 0

Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

x=4

Step-by-step explanation:

log(2x-7) = 0

10^[log(2x-7)] = 10^0

2x-7 = 1

2x = 8

x = 4

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Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?
vekshin1

Mr. Blue' salary is an illustration of a geometric sequence

  • The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)
  • The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
<h3 /><h3>How to determine the explicit formula?</h3>

Mr. Blue's salary is a geometric sequence with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1 * r^(n - 1)

This gives

an = 30000 * 2^(n - 1)

<h3>How to determine the recursive formula?</h3>

The common ratio is calculated as:

r = an+1/an

Substitute 2 for r

2 = an+1/an

Cross multiply

an+1 = 2an

Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000

Read more about arithmetic sequence at:

brainly.com/question/6561461

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