Prove that log5040 = 4log2 + 2log3 + log5 + log7

Find the values of each of the following : log 6 + 2 log 5 + log 4 - log 3 - log 2

Show that :log360=3log2+2log3+log5

Prove that log(1+2+3)=log1+log2+log3

Prove that log(1+2+3)=log1+log2+log3

Prove that: log sin8x=3log2+log sin x+log cos2x+log cos4x

If x^(2)+y^(2)=10xy prove that 2log(x+1)=log x+log y+2log2+log3

Prove that: 2log(1+2+4+7+14)=log1+log2+log4+log7+log14

If a^(2) + b^(2) = 7 ab," prove that " log((a+b)/3) = 1/2 (log a + log b) .

Prove that (log_(4)2)(log_(2)3)=(log_(4)5)(log_(5)3)

[[log e, log e ^ (2), log e ^ (3) log e ^ (2), log e ^ (3), log e ^ (4) log e ^ (3), log e ^ (4) ), log e ^ (5)]]