Question

1000
$7000 \sqrt[23]{?}$
​

Answer 1

1000 = 7000 * (x)^(1/23)

log 1000 = log (7000 * (x)^(1/23))

log 1000 = log 7000 + log(x^(1/23))

log 1000 = log 7000 + 1/23 * log x

log x = (log 1000 - log 7000) * 23

log x = (log 1000 - log 1000 - log 7) * 23

log x = 23 * (log 7)

log x = 19,437254920327907106380973947631‬

x = 10 ^ (log x) ≅ 27.368.752.360.926.612.828,98