Exponential Help | Mathematics | Page 1

obtuse pond Jan 4, 2024, 11:44 PM

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Solve for x when 5 = 200(1/2)^3x :))

left islandBOT Jan 4, 2024, 11:44 PM

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sacred nova Jan 5, 2024, 2:30 AM

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@obtuse pond please confirm your que

obtuse pond Jan 5, 2024, 2:30 AM

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that is the question

sacred nova Jan 5, 2024, 2:31 AM

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Solve for $x$ when $5=200\left(\frac12\right)^{3x}$

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Or is the x in the exponent?

obtuse pond Jan 5, 2024, 2:31 AM

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x is apart of the exponent with 3

tall roostBOT Jan 5, 2024, 2:32 AM

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sacred nova Jan 5, 2024, 2:32 AM

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This?

obtuse pond Jan 5, 2024, 2:32 AM

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yeah

sacred nova Jan 5, 2024, 2:32 AM

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Are you allowed to use calculators?

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...

obtuse pond Jan 5, 2024, 2:41 AM

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yes

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sorry was in washroom

unborn basalt Jan 5, 2024, 10:16 AM

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First you want to have the exponentiell term alone, so you devide by 200. Next you can the the logarythm on both sides to get the x Term out of the exponent. And lastly you solve for x.

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$\frac{5}{200} = (\frac{1}{2})^{3x}\
log_{\frac{1}{2}}(\frac{5}{200}) = 3x\
\frac{log_{\frac{1}{2}}(\frac{5}{200})}{3} = x$

tall roostBOT Jan 5, 2024, 10:21 AM

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Valle

#Exponential Help