Question

prove 3log(1.5)+log(240)-2log(9)=1​

Answer 1

Answer:

1

Step-by-step explanation:

3log(1.5)+log(240)-2log(9)

=log(3³/2³)+log(240)-2log(9²)

=log(27×240/(9×9×8))

=log10

=1

Answer 2

Answer:

proved

Step-by-step explanation:

hence from question

3log 1.5+log240-2log 9

• 3log(15÷10)+log ( 5.3.2^4)-2log(3^2)
• 3log(3÷2)+ log 5+log3+ log2^4-4log3

1. formula log a.b= log a+logb
2. formula log a^b= b log

• 3log3-3log 2 + log5+ log 3+4log2-4log3

1. rearrange

• 3log3+ log3-4log3 +log 5 +4log2-3log2
• 0+log5+log2

1. formula log a+log b= log a.b

• log (5.2)
• log10
• = 1
• hence proved