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2 years ago

Need Help. The question is down below

Mathematics

1 answer:

madreJ [45]2 years ago

4 0

Useful Log Rules:

log(A*B) = log(A)+log(B) .......... log rule 1
log(A/B) = log(A) - log(B) .......... log rule 2
log(A^B) = B*log(A) ................... log rule 3

=========================================================

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) .... use log rule 1

log(500) = log(5) + 2*log(10) .... use log rule 3

log(500) = 1.4650 + 2*2.096 ....... substitution

log(500) = 5.657

<h3>Answer: 5.657</h3>

=========================================================

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) .... use log rule 2

log(2) = 2.096 - 1.4650 ....... substitution

log(2) = 0.631

<h3>Answer: 0.631</h3>

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mr Goodwill [35]

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well, let's recall that a perfect square trinomial is

$\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2$

so we know that the middle term in the trinomial, is really 2 times the other two without the exponent, well, in our case, the middle term is just "x", well is really -x, but we'll add the minus later, we only use the positive coefficient and variable, so we'll use "x" to find the last term.

$\bf \stackrel{\textit{middle term}}{2(x)(?)}=\stackrel{\textit{middle term}}{x}\implies ?=\cfrac{x}{2x}\implies ?=\cfrac{1}{2}$

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wolverine [178]

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Step-by-step explanation:

but hey if im wrong ill have my friend punch me in the arm to make it even

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