Question

if the base is 2√3, find the value of log 144.​

Answer 1

Answer:

Given;

log (144) base 2*(3*(1/2))

Find value of problem

log (144) base 2*(3^(1/2))

log (12^2) base 2*(3^(1/2))

2*3(1/2) = 12^(1/2)

2*log(12) base 12^(1/2)

2*log(12) = (2*2)*log(12)^(1/2)

4*log(12)^(1/2) base 12^(1/2)

log (a) base a = 1

4 *1 = 4

Answer is: 4

Hope this answer helps yo