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

Answer 1

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.

Answer 2

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.