Rewrite the expression as the sum andor difference of logari

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible. log_16 13 Squareroot x/y a) lob_16 13 1/2 log_16 m + log_16 y b) log_16y - log_16 13 - 1/2 log_10 x c) log_16 (13 Squareroot x) - log_16 y d) log_16 13 + 1/2 log_16x - log_16 y

Solution

log₁₆ [(13x)/y] = log₁₆ (13x) - log₁₆ y = log₁₆ 13 + 0.5*log₁₆ x - log₁₆ y

Option c) and d) both are correct.