i will be greatful to you if you help in solving the below problems:

Question

1.)Prove that log15=log5+log3

2.)Show that log10800=4log2+3log3+2log5

3.)show that log108/605=2log2+3log3-log5-2log11.

Answer 1

1.)Prove that log15=log5+log3
hey 15 = 3 * 5
log a b = log a + log b

2.)Show that log10800=4log2+3log3+2log5
log (2^4*3^3*5^2)
log (16*27*25)
log (10800)

3.)show that log108/605=2log2+3log3-log5-2log11.

log [ 2^2*3^3 /(5*11^2) ]

log [ 4*27/(5*121) ]

log [ 108 / 605 ]

all of this is just
log a*b = log a + log b
and
log a^n = n log a

Answer 2

Very thanfulling to u