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3 years ago

Which shows 54^2 − 46^2 being evaluated using the difference of squares method

Mathematics

1 answer:

klio [65]3 years ago

3 0

We use the formula: a^2 - b^2 = (a - b )(a + b);
<span>54^2 − 46^2 = (54 - 46)(54 + 46) = 8 x 100 = 800;</span>

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What value of n makes the equation true? -2n + 1.8 =3.2

stich3 [128]

Answer:

-0.7

Step-by-step explanation:

-2n+1.8=3.2

-2n=3.2-1.8

-2n=1.4

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3 years ago

Write the equation that describes the line in slope-intercept form: slope= 4, point (3,-2) is on the line

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4 years ago

Which expression is equivalent to log Subscript w Baseline StartFraction (x squared minus 6) Superscript 4 Baseline Over RootInd

lora16 [44]

The logarithmic expression $\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$ can be expressed as $\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)$ .

Given to us

$\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$

<h3>Which expression is equivalent to $\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$ ?</h3>

To solve the problem we will use the basic logarithmic properties,

$\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$

Using the logarithmic property $\rm log_a\dfrac{x}{y} = log_ax-log_ay$ ,

$=\rm log_w{(x^2-6)^4} - log_w{\sqrt[3]{x^2-8}}$

Using the exponential property $\sqrt[m]{a^n} = a^{\frac{n}{m}}$ ,

$=\rm log_w{(x^2-6)^4} - log_w(x^2-8)^{\dfrac{1}{3}}$

Using the logarithmic property $\rm log_aB^x = xlog_aB$ ,

$=\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)$

Hence, the logarithmic expression $\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$ can be expressed as $\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)$ .

Learn more about Logarithmic Expression:

brainly.com/question/7302008

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