Logarithm MCQ Question with Answer

log 75/16-2 log 5/9+log 32/243

= log 75/16-log(5/9)²+log32/243

= log 75/16-log25/81+log 32/243

= log(75/16*32/243*81/25)=log 2

log₁₀ 3+log₁₀ (4x+1)=log₁₀ (x+1)+1

Log₁₀ 3+log₁₀ (4x+1)=log₁₀ (x+1)+log₁₀ (x+1)+log₁₀ 10

Log₁₀ (3(4x+1))=log₁₀ (10(x+1))

=3(4x+1)=10(x+1)=12x+3

=10x+10

=2x=7=x=7/2

log_xyz xy+ log_xyz yz+ log_xyz zx

=log_xyz (xy*yz*zx)=log_xyz (xyz)²

2log_xyz(xyz)=2*1=2