round to the nearest thousandth

Question

3^x=7

Has to be rounded to the nearest thousandth

Answer 1

Given: 3^x = 7

Find: x to the nearest thousandth.

Solution:

3^x = 7

log(3^x) = log(7)

x*log(3) = log(7)

x = log(7) / log(3)

x = 1.77124

x = 1.771 Rounded to nearest thousandth

Answer 2

3^x = 7

Take the log of this so:

log₃7 = x

log 7/log 3 = x

I've rounded this so

1.77= x