If ${2^x}{.3^{x + 4}} = {7^x}$, then $x$ is equal to

$\frac{{4{{\log }_e}3}}{{{{\log }_e}6 - {{\log }_e}7}}$

$\frac{{2{{\log }_e}3}}{{{{\log }_e}7 - {{\log }_e}6}}$

$\frac{{3{{\log }_e}4}}{{{{\log }_e}6 - {{\log }_e}7}}$

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

{2^x}{.3^{x + 4}} = {7^x}

, then

x

is equal to

View answer and explanation

Correct option: A

\frac{{4{{\log }_e}3}}{{{{\log }_e}7 - {{\log }_e}6}}

Option A (

\frac{{4{{\log }_e}3}}{{{{\log }_e}7 - {{\log }_e}6}}

) is correct because it is obtained by taking the logarithm of both sides of the equation and solving for x.

Practice All Chapter MCQs →

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