Question

simplify log10+2log3-log2

Answer 1

log10 + log3² - log2,

log10 + log9 - log2,

log(10×9) - log2,

log90 - log2,

log90/2,

log45

Answer 2

Answer:

log (45)

Step-by-step explanation:

Identity Used:

$1.\,\,log (ab) = log(a) + log (b)\\2.\,\,log (a^m) = mlog(a)\\3.\,\,log (a/b) = log(a) - log (b)$

In give question we have to simplify:

= log10+2log3-log2

= log (10) + log (3^2) - log (2)

= log (10) + log (9) -log (2)

= log (90/2)

= log (45)

#SPJ2