Expressing a power

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  • #1
thomas49th
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Express e in terms of c and d if [tex]2^{c}4^{d} = 8^{e}[/tex]

Can someone give me step by step advice on how to answer this?
 

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  • #2
HallsofIvy
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Express e in terms of c and d if [tex]2^{c}4^{d} = 8^{e}[/tex]

Can someone give me step by step advice on how to answer this?
4= 22 so 4d= (22)d= 22d. 8= 23 so 8e= (23)e= 23e.
 
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  • #3
thomas49th
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I don't get

[tex](2^{3})^{e}= 3^{3e}[/tex]

I see that 2³ = 8 and [tex](^{e})^{3}[/tex] is [tex]^{3e}[/tex], but how can that be [tex]3^{3e}[/tex]
?



P.S Can i ask, the dot in the middle of a line, is it suppost to represent a new equaion?
 
  • #4
HallsofIvy
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That was a typo. I have corrected it.
 

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