How do you solve #3log_10 x+1 = 13#?

1 Answer
May 25, 2016

Answer:

#x=10^4#

Explanation:

#3log_{10}x+1=log_{10}x^3+log_{10}10=13=log_{10}10^{13}#
or equivalently
#log_{10}(10*x^3) = log_{10}10^{13}#
or equivalently
#10*x^3=10^{13}#
concluding that
#x^3 = 10^{12}->x=10^4#