Question

5 log 3 - log 9 = log 27

Answer 1

This is the solution This is the solution

Answer 2

5 log 3 - log 9 = log 27 is proved

Given :

The expression

5 log 3 - log 9 = log 27

To find :

To prove the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

5 log 3 - log 9 = log 27

Step 2 of 2 :

Prove the expression

LHS

$\displaystyle \sf{ = 5 \: log \: 3 - log \: 9}$

$\displaystyle \sf{ = log \: {3}^{5} - log \: 9}$

$\displaystyle \sf{ = log \: {3}^{5} - log \: {3}^{2} }$

$\displaystyle \sf{ = log \: \frac{ {3}^{5} }{ {3}^{2} } }$

$\displaystyle \sf{ = log \: {3}^{3} }$

$\displaystyle \sf{ = log \: 27}$

= RHS

Hence the proof follows

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ if 2log x base y=6,then the relation between x and y

https://brainly.in/question/27199002

2.If 2log((x+y)/(4))=log x+log y then find the value of (x)/(y)+(y)/(x)

https://brainly.in/question/24081206