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Solve the inequality. 8^x<512
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\[8^{x}<512\]\[\rightarrow 2^{3x}<2^{9}\rightarrow3x<9\rightarrow x<3\]
how did u come across that answer for 512 how did u find that?
he wrote both sides of the inequality as exponential with the same base...
yes but how did he know that 512 was divisble by 2?
512 is even, but that's not the point...
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yes but i would need that to get 2^9
2^9 = 2*2*2*2*2*2*2*2*2 = 512
2^3 = 2*2*2 = 8 this is how he was able to change that left side to 2^(3x)
ok so it has to be the lowest common multiple?
he use the lowest common base for the exponential.
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used**
oh ok i think i get it now
and if the bases are equal, the exponents MUST be equal: |dw:1338075296879:dw|
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