How do you evaluate 10 ^ (log3 + log4)10log3+log4?

1 Answer
May 22, 2016

1212

Explanation:

Exponentiation and logarithm are inverse functions so that
a^{log_a b} = balogab=b then
10^{log_{10}3+log_{10}4} = 10^{log_{10}(3 times 4)}=3 times 4 = 1210log103+log104=10log10(3×4)=3×4=12