# math 12

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i know how to do the majority of these type of questions, but i don't know how to simplify this one all the way..

8(2x-1)^3= 125

i know you could go
(2x-1)^3= 125/8
(2x-1)^3= (5/2)^3

but how can i simplify any further, and yes there is an answer.

• math 12 -

nevermind i got it now

• math 12 -

8 is the cube of 2 and 125 is the cube of 5. Therefore
[2(2x-1)]^3 = 5^3
That means that 2(2x-1) = 5
Take it from there

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