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3 years ago

Subtract -5x+7 from 3x-2 set up your expression show your work

Mathematics

2 answers:

Korvikt [17]3 years ago

8 0

Answer:

$\large\boxed{(3x-2)-(-5x+7)=8x-9}$

Step-by-step explanation:

$(3x-2)-(-5x+7)\\\\=3x-2-(-5x)-7\\\\=3x-2+5x-7\qquad\text{combine like terms}\\\\=(3x+5x)+(-2-7)\\\\=8x-9$

ruslelena [56]3 years ago

3 0

3x-2

-(-5x+7)

☝️this is your equation

distribute your subtraction sign to -5x+7 and you get

3x-2

+5x-7

add everything together and you end up with

8x-9

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Answer:

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Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

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Logarithm of the base:

$log_b(b) = 1$

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Division rule:

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Power rule:

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Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

$\displaystyle log_\frac{1}{2}(64)$

Factoring $64=2^6$ .

$\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)$

Since

$\displaystyle 2=(1/2)^{-1}$

$\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})$

Applying the power rule:

$\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})$

Applying the logarithm of the base:

$\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}$

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