Question

log5^5*log4^9*log 3^2​

Answer 1

Solution :

We know that, log(aᵇ) = b (loga)

∴ log(5⁵) * log(4⁹) * log(3²)

= 5 (log5) * 9 (log4) * 2 (log3)

= 5 * 9 * 2 * log5 * log4 * log3

= 90 * log5 * log(2²) * log3

= 90 * log5 * 2 (log2) * log3

= 90 * 2 * log5 * log3 * log2

= 180 * log5 * log3 * log2.