Question

1) expand log 120÷49 from log​

Answer 1

log120/49

=>log120-log49

=>12log10-7log7

=>12*1-7*0.84

=>12-1.69

=>10.31

hope it helps!!☺

Answer 2

$log\frac{120}{49}=log 2+log 2+log 2+log 3+log 5-2 log 7$

Step-by-step explanation:

$log\frac{120}{49}$

$120=2\times 2\times 2\times 3\times 5$

$49=7^2$

$log\frac{2\times 2\times 2\times 3\times 5}{7^2}$

We know that

$log\frac{m}{n}=log m-log n$

Using the formula

$log\frac{120}{49}=log(2\times 2\times 2\times 3\times 5)-2 log 49$

We know that

$log(m\times n)=log m+log n$

Using the formula

$log\frac{120}{49}=log 2+log 2+log 2+log 3+log 5-2 log 7$

$log\frac{120}{49}=3log 2+log 3+log 5-2log 7$

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