Question

prove( log 5to base 5 )(log4to base 9)(log2 to base 3) = 1​

Answer 1

Answer:

Step-by-step explanation:

Answer should be 2ab-1

By BASE CHANGE RULE

Log5(base)4 become log5÷log4

Similarly log6÷log5

Multiply both we get

(Log6×log5)÷(log5×log4)=a×b

log6÷log4=a×b

Log(3×2)÷log4=a×b

(log3+log2)÷2log2=a×b

log3÷2log2+1/2=a×b

Log3÷2log2=ab-1/2

1/2log3÷log2=( 2ab-1)/2

By base change RULE

Log3(base)2=(2ab-1)2/2

Log3(base)2=2ab-1

Answer 2

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