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zubka84 [21]
3 years ago
10

How do I condense each expression?

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

  \log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}

Step-by-step explanation:

Make use of the rules of logarithms:

  log(a/b) = log(a) - log(b)

  log(a^b) = b·log(a)

__

  5\log_5{x}-\dfrac{1}{4}\log_5{(8-x)}=\log_5{x^5}-\log_5{\sqrt[4]{8-x}}=\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}

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Answer:

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What is the decibel level of the sound of a monster truck with intensity 10−2 watts per square inch? Use a logarithmic model to
lorasvet [3.4K]

Answer:

BdB = 68.10 decibels

Step-by-step explanation:

BdB = 10 log10 I / Io

where BdB is the sound intensity level in decibels, I is the sound intensity on the linear scale (W / m²) and I0 is the hearing threshold (10^-12 W / m²).

Converting Io de 10^-12 W/m² to W/in², tenemos

10^-12 W/m² = 1.5500031000062x10^-9 W/in²

So, applying the equation or formula,

BdB = 10 log10 (10 ^ -2 W/in² / 1.5500031000062x10^-9 W/in² )

BdB = 10 log10 (0.64516x10^6)

BdB = 10 log10 (6,451,600)

Being log10 (6,451,600) = 6.8096674332398761189214526331036, then

BdB = 10 x 6.8096674332398761189214526331036

BdB = 68.096674332398761189214526331036

BdB = 68.10 decibels

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2 years ago
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Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{r}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-
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3 0
2 years ago
Mr. Nolan has a bank account that compounds interest
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Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

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