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xz_007 [3.2K]
3 years ago
12

Express as the sum or difference of logarithms. log311y

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer:

log311y=log311+logy

Step-by-step explanation:

We can use the property of logarithms of sum of logarithms:

log_{b} (M*N)=log_{b} M+log_{b}N

So, if we consider M=311 and N=y

We replace

log311y=log311+logy

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\left(x^4y^4\right)^\frac{1}{3}=\left(x^4\right)^\frac{1}{3}\left(y^4\right)^\frac{1}{3}=x^{4\cdot\frac{1}{3}}y^{4\cdot\frac{1}{3}}=x^\frac{4}{3}y^\frac{4}{3}=x^{1+\frac{1}{3}}y^{1+\frac{1}{3}}\\\\=x^1x^\frac{1}{3}y^1y^\frac{1}{3}=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}
6 0
3 years ago
The sum of two numbers is twice their difference. The larger number is 2 more than twice the smaller
Alexandra [31]

The larger number is 6 and the smaller one is 2.


7 0
3 years ago
Consider the graph shown.
otez555 [7]

Answer:

y = \frac{2}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = \frac{4-2}{3-0} = \frac{2}{3}

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y = \frac{2}{3} x + 2 ← equation of line

5 0
3 years ago
2.32x10 to the fifth power
laiz [17]
2.32 x 10⁵ = 232000

This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.

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The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.

There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.


3 0
3 years ago
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Ber [7]

Answer:324

Step-by-step explanation:

5 0
3 years ago
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