college algebra
posted by confused .
solve the following exponential equation.
7^x=8
a. x= Write in exact solution
b. then with that answer move the decimal 3 points over

log10(7^x) = log10(8)
Using log rules (log(a^b) = b*log(a))
x*log10(7) = log10(8)
x*.845 = .903 = log(8)/log(7)
x = 1.068 to 3 decimals