If log(base a)b^2=5 determine the value of log(base b)a^2

Answer 1

If log(base a)b^2=5;

2*log_ab = 5

log_ab = 5/2

a^5/2 = b or; a = b^2/5

log_ba² = 2*log_ba (lets plug a = b^2/5 in to the equation)

2*log_bb^2/5 = 2*2/5 =4/5

hope that helps