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14 votes
14 votes
What is the logarithmic form for

2 { }^(x - 4) = 32


User Jamshed
by
3.0k points

1 Answer

12 votes
12 votes

Answer:


2^x-4=32\quad :\quad x=(2\ln \left(6\right))/(\ln \left(2\right))\quad \left(\mathrm{Decimal}:\quad x=5.16992\dots \right)\\\\2^x-4=32 \\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2^x-4+4=32+4\\\mathrm{Simplify}\\2^x=36\\\\apply exponential rule\\x\ln \left(2\right)=\ln \left(36\right)\\x\ln \left(2\right)=\ln \left(36\right)\\x=(2\ln \left(6\right))/(\ln \left(2\right))

hope it helps:)

What is the logarithmic form for 2 { }^(x - 4) = 32 ​-example-1
User Reg Domaratzki
by
3.2k points
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