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Lilit [14]
3 years ago
13

What is the approximate value of x in the equation below? log5(15)=x+3 –2.523 –1.317 2.880 7.485

Mathematics
2 answers:
Kisachek [45]3 years ago
6 0

Answer:

The value of x is -1.371(approximate)

b.

Step-by-step explanation:

poizon [28]3 years ago
4 0

Answer:

Option B is correct.

The value of x is -1.371(approximate)

Explanation:

Given equation: \log_5 15 =x+3

Using logarithmic rule:

\log_{10} (ab) =\log_{10} a +\log_{10} b

\log_b b =1

We can write \log_5 15 as;

\log_5 15 =\log_5 (5\times 3) = \log_5 5 +\log_5 3  

\log_5 15 = 1 +\log_5 3                 [using logarithmic rule]

By graphing calculator the value of \log_5 3 = 0.682606194486.

then, we have

\log_5 15 = 1 +0.682606194486 =1.682606194486

substitute this value in [1] to solve for x;

1.682606194486 =x+3

Subtract 3 from both sides we have,

1.682606194486-3 =x+3-3

Simplify:

-1.31739381 =x or

x =-1.317 (approx.)

Therefore, the approximate value of x is : -1.317


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Stopping at 5 decimal places

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Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations in mathematics. The type of arithmetic operation has been selected based on the requirements of the task.

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hope this helps

have a good day :)

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