If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n.

stevmat

2 years ago

log(XY)=log x+log y
law of log.
log24= log(8×3)
=log 8+log 3
=3log2+log3
=3m+n

Florachukwu

3 years ago

i think its 3mn because
if 3log2 × log3 is 3m×n
then its 3mn
someone please explain it properly for me if I'm wrong

agboola918

1 year ago

Error

infactidontcare

4 years ago

its 4m+n because 2*2*2*2*3=24
therefore m+m+m+m+n=4m+n