How do you solve 5^x=45?

1 Answer
Oct 17, 2016

x=2.365

Explanation:

5^x=45

log5^x=log45color(white)(aaa)Take the log of both sides

xlog5=log45color(white)(aaa)Use the log rule logx^a=alogx

(xlog5)/log5=log45/log5color(white)(aaa)Divide both sides by log5

x=2.365