How do you solve 5^(2x) = 852x=8?

1 Answer
May 13, 2016

x=color(blue)((log_5 8)/2)~~color(blue)(0.646)x=log5820.646

Explanation:

If 5^(2x) = 852x=8
then
color(white)("XXX")log_5 5^(2x)=log_5 8XXXlog552x=log58

color(white)("XXX")rarr 2x=log_5 8XXX2x=log58

color(white)("XXX")rarr x= (log_5 8)/2XXXx=log582

Use a calculator to obtain an approximate value for this expression.