Question

3log 4+2log 5-1/3 log 64 -1/2 log 16​

Answer 1

Answer:

2.399 or 2.4 (approx)

Step-by-step explanation:

3log 4 + 2log 5- 1/3log 64 - 1/2 log 16

let's solve it further

= 3log(2^2) + 2log 5 - 1/3log (8^2) - 1/2 log (4^2)

= 2 * 3log2 + 2log5 - 2 * 1/3log 8 - 2 * 1/2log 4

= 6 log2 + 2log5 - 2/3 log (4 * 2) - log(2^2)

= 6log2 + 2log5 - 2/3 (log 4 + log 2) - 2log2

= 6log2 + 2log5 - 2/3 ( log2^2 + log2) - 2log2

= 6log2 + 2log5 - 2/3 ( 2log2 + log2) - 2log2

= 6log2 + 2log5 - 4/3log2 + 2/3log2 - 2 log2

= 6*0.3010 + 2*0.6989 - 4/3 * 0.3010 + 2/3 * 0.3010 - 2 * 0.3010

= 1.806 + 1.397 - 0.4013 + 0.200 - 0.602

= 2.399

2.4 (approx)

I solved each and every step for ur understanding, please it's not that big as it seems to be, u can calculate this in mind.