PLEASE HELP THIS IS A LINEAR EQUATIONS AND INEQUALITIES!!

Mathematics

1 answer:

kati45 [8]4 years ago

5 0

Slope-intercept form is y = mx + b:
$y + 4 = - 2(x - 1) \\ y + 4 = - 2x + 2 \\ y = - 2x - 2$
First, we factor the -2 into the parentheses. Then, we subtract 4 from both sides.

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Bond [772]

Answer:

3log(10) -2log(5) ≈ 1.60206
no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
no; the given "property" is nonsense

Step-by-step explanation:

The given expression expression can be simplified to ...

3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

= log(1000/25) = log(40) . . . . ≠ log(5)

≈ 1.60206

Or, it can be evaluated directly:

= 3(1) -2(0.69897) = 3 -1.39794

= 1.60206

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

$\log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})$