How is this logx=4 done?

1 Answer
Sep 10, 2016

#x = 10,000#

Explanation:

If no base of the log is shown, it means it is 10.

Log form and exponential form are interchangeable.

#log_a b = c " "hArr " "a^c = b#

"The base stays the same and the other two change around"

In this case, change the log form to index form:

#log_10 x = 4 " "hArr " " 10^4 = x#

#x = 10,000#