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250(x) = 400,000

Use logs to base '10'

Hence

log250^(x) = log400,000

xlog250 = log 400,000

Notirce how the power (x) becomes the coefficient. This is oerfectly correct under 'log' rules.

x = log 400,000 / log 250 (NOT log(250/400,000).

x = 5.60206 / 2.39794

x = 2.33619689..... ~ 2.33619 to 5 d.p.

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lenpollock

Lvl 16
6mo ago
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Wiki User

14y ago

250x = 400000

then x log 250 = log 400000

so x = log 400000 / log 250

Natural logs could have been used instead of logs to base 10.

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Q: How would you solve 250 to the x power equals 400000?
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