What will be the value of x, if log(6x) − log(6−x) = log(3).1. 1

1.	What will be the value of x, if log(6x) − log(6−x) = log(3).1. 12. 23. 34. 4
Answer» Correct Answer - Option 2 : 2 CONCEPT: Basic Quotient property of logarithms is given by \(\ln (\frac{x}{y}) = \ln (x) - \ln (y)\). CALCULATION: Given is log(6x) − log(6−x) = log(3). By Quotient property of logarithms we can write it as - \( ⇒ \log \left( {\frac{{6x}}{{6 - x}}} \right) = \log 3\) On dropping log from both the sides we get \(\left( {\frac{{6x}}{{6 - x}}} \right) = 3\). ⇒ 6x = 3(6 - x) ⇒ 9x = 18 ⇒ x = 2 Therefore, option (3) is the correct answer.

What will be the value of x, if log(6x) − log(6−x) = log(3).1. 12. 23. 34. 4

Answer» Correct Answer - Option 2 : 2

CONCEPT:

Basic Quotient property of logarithms is given by \(\ln (\frac{x}{y}) = \ln (x) - \ln (y)\).

CALCULATION:

Given is log(6x) − log(6−x) = log(3).

By Quotient property of logarithms we can write it as -

\( ⇒ \log \left( {\frac{{6x}}{{6 - x}}} \right) = \log 3\)

On dropping log from both the sides we get \(\left( {\frac{{6x}}{{6 - x}}} \right) = 3\).

⇒ 6x = 3(6 - x)

⇒ 9x = 18

⇒ x = 2

Therefore, option (3) is the correct answer.

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What will be the value of x, if log(6x) − log(6−x) = log(3).1. 12. 23. 34. 4

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