Solve: $7^{{log}_{3} 5} + 3^{{log}_{5} 7} - 5^{{log}_{3} 7} - 7^{{log}_{5} 3}$

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Solution

The correct option is A $0$
Using $a^{{log}_{b} x} = x^{{log}_{b} a}$

$= 5^{{log}_{3} 7} + 7^{{log}_{5} 3} - 5^{{log}_{3} 7} - 7^{{log}_{5} 3}$

$= 0$

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Similar questions

7^{{log}_{3} 5} + 3^{{log}_{3} 7} - 5^{{log}_{3} 7} - 7^{{log}_{5} 3}

\sqrt{3} x = 2

\frac{x}{3} = 7 - \frac{y}{5}

Solve using appropriate proper properties [3 MARKS]

$\frac{2}{5} \times \frac{- 3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5}$

3 x^{- 2} + 7 x^{- 1} + 5 = 0

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