Question

find x,if: 2+log x = log 45- log 2+log 16- 2 log 3​

Answer 1

Answer:

2/5

Step-by-step explanation:

Given,

2+log x=log45-log2+log 16-2 log3

=>2+log x=log(45/2)+log16-log(3²)

=>2+log x=log[(45/2)x16]-log9

=>2+log x=log360-log9

=>2+log x=log(360/9)

=>2+log x=log 40

=>log x=log40 - 2

=>log x=log40-log(10²)

=>log x=log40 - log100

=>log x=log(40/100)

=>log x=log(2/5)

Taking antilog on both sides, we get

=>x=2/5

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