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marta [7]
3 years ago
8

If a common logarithm is written without a base, what base should be used in evaluating it?

Mathematics
2 answers:
Rzqust [24]3 years ago
7 0
If there isn't a base, the base is 10 :)
fiasKO [112]3 years ago
5 0

Answer:

10

Step-by-step explanation:

By convention we denote log of any number to base e as ln.

In mathematics and Calculus, whatever we do for log functions mean log to base e only.

But for practical uses, since we are using decimal system for numbers and numbers have place values in powers of 10, common logrithm is used.

Common logs have base 10 and used for calculation especially in Physics and Maths experiments

Hence a common logrithm written as log without any base means it implies that the base is 10

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See below for the changes when the exponential function is transformed

<h3>How to determine the effect of a</h3>

The exponential functions are given as:

y = \sqrt x

y = 5\sqrt x

y = 14\sqrt{x

y = -2\sqrt{x

An exponential function of the above form is represented as:

y = a\sqrt{x

See attachment for the graph of the four functions.

<u>When a is large</u>

This is represented by y = 14\sqrt{x

In this case, the curve of the base form y = \sqrt x is vertically stretched and it moves closer to the y-axis

<u>When a is small</u>

This is represented by y = 5\sqrt x

In this case, the curve of the base form y = \sqrt x is vertically stretched and it moves away from the x-axis

<u>When a is negative</u>

This is represented by y = -2\sqrt{x

In this case, the curve of the base form y = \sqrt x is vertically stretched and is reflected across the y-axis.

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2 years ago
How would 3,050,000 be expressed in scientific notation?
sergejj [24]
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3 years ago
Nina decided to raise money for a community organization that provides free classes and legal
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A percentage is a way to describe a part of a whole. The money that is raised by Nina in the second month is $960.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the money raised by Nina in the first month is $800, while the money raised by Nina in the second month is 20% more.

Therefore, the money raised by Nina in the second month is,

Money raised = $800 + 20% of $800

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Hence, the money that is raised by Nina in the second month is $960.

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