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abruzzese [7]
3 years ago
15

Give the domain of

" align="absmiddle" class="latex-formula"> in interval notation.
Mathematics
1 answer:
kupik [55]3 years ago
7 0
To find the domain, you first need to find what x values will result in an imaginary number. To find this, solve the inequality -13-x >(or equal to)0. This comes out to x<(or equal to) -13. This means that’s the domain is [-13, negative infinity).
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=====================================

Work Shown:

y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\

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