Question

if log2 = 0.3010 and log3 = 0.4771; then log300 - log8 = 1.5741
.... true or false? why?

Answer 1

but log5 isnt given...ur only supposd to use log2 and log3

Answer 2

log(300)=log(3*100)=log(3*10^2)=log3 + 2log10

Answer 3

Sorry I was supposed to stop there

Answer 4

=log3+2*1=2+log3

Answer 5

log8=log2^3=3log2

Answer 6

So just find:
2+log3-3log2

Answer 7

And that does in fact equal 1.5741

Answer 8

log300 - log8 \[\log(3\times100)-\log2^{3}=\log3+2\log10-3\log2=\log3+2\times1-3\log2\]
=0.4771 +2-3*0.3010
=2.4771 -0.9030=1.5741
Thus the answer is true

Answer 9

thank u :)