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3 years ago

Use complete sentences to describe how logarithms can aid in difficult calculations.

Mathematics

2 answers:

hichkok12 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Logrithms make calculations especially very large or very small numbers very easily

In log multiplication becomes addition and division becomes subtraction.

Also when we use log to base 10, we can make any number to the power of 10 and find log easily.

For example if we want to calculate 2329x5265/31500

We can do this by taking log.

log 2329+log 5265-log 31500 is calculated and for this anti log is calculated to get the answer

Similarly cube root of 2500 is to be done we find 1/3 log 2500 and take antilog .

Thus difficult calculations are made very easy

Burka [1]3 years ago

4 0

First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
pH = -log[H+]

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How does the graph of f(x)=3lx+2l+4 relate to its parent function?

Sergeeva-Olga [200]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template above in mind, let's see this one

$\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

A=3, B=1, shrunk by AB or 3 units, about 1/3
C=2, horizontal shift by C/B or 2/1 or just 2, to the left
D=4, vertical shift upwards of 4 units

check the picture below

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2 years ago

The circumference of Mars is 7.00 x 107. Which planet is larger, and by how many feet? Write the answer in both standard and sci

Rasek [7]

Answer:

Step-by-step explanation:

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2 years ago

Solve: - 12 = -12(x + 2)

Fofino [41]

Answer:

x=-1

Step-by-step explanation:

-12=-12(x+12)

multiply -12 and x which equals -12x

multiply -12 and 2 which equals -24

the resulting equation is -12=-12x-24

add 24 on both sides of the equation----> equals -12x=12

divide -12 on both sides of equation

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3 years ago

During a baseball game, a player’s ball hit into the outfield is modeled by the equation h = –16t2 + 65t. A bird flying across t

natka813 [3]

When two graphs intersect, it means something in real-life:

The baseball's flight path and the bird's flight path intersect.

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3 years ago

Read 2 more answers

A poll shows that 41% of voters in a city favor of a $0.0.1 tax increase. If 25 voters are selected at random, what is that exac

juin [17]

Answer:

The probability is 0.026 to 3 d.p

Step-by-step explanation:

To calculate this , we shall be using the Bernoulli approximation.

let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41

q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59

Now we want to calculate that exactly 15 out of 25 will vote in favor

Mathematically that would be ;

25C15 p^15 q^10

= 25C15 0.41^15 0.59^10

= 0.025981307443 or simply 0.026 to 3 decimal places

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3 years ago