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Mathematics 8 Online
OpenStudy (anonymous):

25^3x=125

jimthompson5910 (jim_thompson5910):

\[\Large 25^{3x} = 125\] \[\Large (5^2)^{3x} = 125\] \[\Large (5^2)^{3x} = 5^3\] \[\Large 5^{2*3x} = 5^3\] \[\Large 5^{6x} = 5^3\] Since the bases are equal to 5, this means that the exponents must be equal, so, 6x = 3 x = ???

OpenStudy (anonymous):

2

jimthompson5910 (jim_thompson5910):

incorrect

OpenStudy (anonymous):

1/2

jimthompson5910 (jim_thompson5910):

much better

OpenStudy (anonymous):

thank you

jimthompson5910 (jim_thompson5910):

x = 1/2 or x = 0.5 is the correct answer

OpenStudy (anonymous):

I have a calc final on Saturday and this is killing me

jimthompson5910 (jim_thompson5910):

you'll be fine, just keep practicing and it should come more naturally

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