log4(10)=x

Question

Im having trouble getting started here with this question

thanks

Answer 1

log4(10) = x.
I'm assuming we are to find the log to the base 4 of 10.

4^x = 10,
Take log of both sides:
Xlog4 = log10,
Divide both sides by log4:
X = log10 / log4 = 1.66.