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3 years ago

Solve the given equation. w − 19 = 47

Mathematics

1 answer:

butalik [34]3 years ago

7 0

Answer:

w=66

Step-by-step explanation:

w-19=47

Hey There!

So what we want to do is get the variable on one side (w) and the constant on the other

so essentially what I am saying is that we have to get rid of the -19 and to do that we have to add 19

but remember whatever we do to one side we have to do to the other

-19+19 cancels out

47+19=66

therefore

w=66

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Whitepunk [10]

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3 years ago

Read 2 more answers

What is the extraneous solution found in solving the equation log2 4x + log₂ (x + 1) = 3

yan [13]

Answer:

x = -2

Step-by-step explanation:

We are given the logarithmic base 2 equation of:

$\displaystyle{\log_2 (4x) + \log_2 (x+1) = 3}$

Apply logarithm property of addition where:

$\displaystyle{\log_a M + \log_a N = \log_a MN}$

Therefore, we will write new equation as:

$\displaystyle{\log_2 [4x(x+1)] = 3}$

Apply logarithm to exponential form using:

$\displaystyle{\log_a M = N \to a^N = M}$

Thus, another new rewritten equation is:

$\displaystyle{2^3 = 4x(x+1)}\\\\\displaystyle{8 = 4x(x+1)}\\\\\displaystyle{2=x(x+1)}$

Expand the expression in and arrange the terms in quadratic expression:

$\displaystyle{2=x^2+x}\\\\\displaystyle{0=x^2+x-2}\\\\\displaystyle{x^2+x-2=0}$

Solve for x:

$\displaystyle{(x+2)(x-1)=0}\\\\\displaystyle{x=-2,1}$

These are potential solutions to the equation. To find extraneous solution, you’ll have to know the domain of logarithm function. We know that logarithm’s domain is defined to be greater than 0. Henceforth, anti-logarithm must be greater than 0.

( 1 ) 4x > 0, x > 0

( 2 ) x + 1 > 0, x > -1

Therefore, our anti-log must be greater than 0, so any solutions that are equal or less than 0 will be considered as extraneous solution.

Hence, x = -2 is the extraneous solution.

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2 years ago

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Hello there.

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3 years ago

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murzikaleks [220]

Answer:

what about them

Step-by-step explanation:

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3 years ago

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mote1985 [20]

Answer:

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Step-by-step explanation:

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3 years ago