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Mathematics 14 Online
OpenStudy (anonymous):

8^(y - 2) = 2^y a.y = 1 b.y = 3 c.y = -3 d.y = -1

OpenStudy (larseighner):

Can you convert \( 8^{y-2}\) to a power of 2? That is \( \large2^?\) ?

OpenStudy (anonymous):

im lost on what to do

OpenStudy (larseighner):

Okay. Let me make it bigger \[ \Large8^{y-2} \] is on the left. \[ \Large 2^y \] is on the right. You can solve this problem if you can express both terms as the same base number to some power. So how can you convert \[ \Large8^{y-2} \] to \[ \Large2^{something} \]

OpenStudy (anonymous):

do you divide it by 4?

OpenStudy (larseighner):

Here's a hint \[ \Large 8 = 2^3 \]

OpenStudy (anonymous):

so the answer would be 3?

OpenStudy (larseighner):

\[\Large8^{y-2} \] is what you are trying to convert. I just told you \[\Large 8 = 2^3\] So what can you do?

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