How do you solve #2log_5 x = 250#?

1 Answer
May 29, 2016

#x=5^125# as an exact value

By calculator this is approximately #2.351xx10^87# to 3 decimal places

Explanation:

Consider #" "log_10(x)=y#

This is another way of writing:#" "10^y=x#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Divide both sides by 2

# " " log_5x=125#

Comparing to my example above this can be written as:

#" "x=5^125#