How do you solve #log x = 1.8#?

1 Answer
Nov 29, 2015

#x= 10^(1.8) ~~63.096#

Explanation:

#log x# means #log_10 x#

By definition
#color(white)("XXX")log_b p = q#
is equivalent to
#color(white)("XXX")p=b^q#

Therefore
#color(white)("XXX")log_10 x = 1.8#
is equivalent to
#color(white)("XXX")x= 10^(1.8)#
(which can be evaluated using a calculator as approximately #63.096#)