ivano_logy
If 4^y=7, then the value of 4^3y+2 is?



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ash2326
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\[4^y=7\]
\[4^{3y}=(4^y)^3\]
So you'll get
\[\large 4^{3y}=7^3\]
Can you solve now?

ivano_logy
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343
Thank you:)

jim_thompson5910
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343 isn't the final answer, but it gets you there

ivano_logy
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343+2=345

jim_thompson5910
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is the +2 in the exponent when you say 4^3y+2
ie is the problem \[\Large 4^{3y+2}\]
or is it \[\Large 4^{3y}+2\]

jim_thompson5910
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if it's the second one, then you're correct

ivano_logy
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It's the second one 4^(3y)+2

jim_thompson5910
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ok then you got it, just making sure

ivano_logy
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Nice, thank you!