#Why was the 4^x being multiplied for all sides? Is it a strategy?

24 messages · Page 1 of 1 (latest)

pale flintBOT
pallid zodiac
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<@&286206848099549185>

hot bolt
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Let u=4^x

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And u have a quadratic in terms of u

pallid zodiac
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Yh

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But how the 4^-x got cancelled out?

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@hot bolt

hot bolt
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So 4^x (4^-x) =4^0=1

pallid zodiac
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For which reason?

hot bolt
pallid zodiac
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I'm missing out a lot of laws

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Idk why

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I'm do advanced function and still missing out some laws

hot bolt
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@pallid zodiac

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I guess we forget simple stuff

pallid zodiac
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Yh, we did them last year but not all of them. I also missed almost the whole semester because of my sickness

empty falcon
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\begin{align*} 4^x +6(4^{-x}) &= 5 \ 4^x +\frac{6}{4^x} &= 5 \qquad \text{using index laws} \ 4^x\times 4^x +\frac{6}{4^x}\times 4^x &= 5\times 4^x \qquad \text{on multiplying by $4^x$} \ \left(4^x\right)^2 +6\times \frac{4^x}{4^x} &= 5\times 4^x \ \left(4^x\right)^2 +6 &= 5\times 4^x \qquad \text{as $\frac{4^x}{4^x} = 1$} \ u^2 + 6 &= 5u \qquad \text{on substituting $u=4^x$} \end{align*}

lyric veldtBOT
pallid zodiac
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I still need help for something if you guys aren't busy

pallid zodiac
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@empty falcon I got another question related to trig ratio for that question, I had to draw an angle and determine the other trig ratios