Question #f34ef

1 Answer
Nov 15, 2016

#7^(2^x)=\approx2.08649#

Explanation:

#7^(-x)=4#
#1/7^x=4#
#1/4=7^x#
#log_(1/4)(7)=x#
#x\approx-1.40368#
I suggest you use the exact form (the logarithm) to calculate the next step, instead of the approximation.

#7^(2^x)=7^(2^(\log_(1/4)(7)))#

#\approx2.08649#