Question

2 log10(5) + 2 log10(3) - log10(2) + 1. please solve this question with explanation and the answer is log10(1125)​

Answer 1

We represent only log x if the base is 10 for e.x.

log x to the base 10 can be also written as log x

So,

==> 2 log 5 + 2 log 3 - ( log 2 - log 10 )

==> log 5² + log 3² - ( log 2/10 )

==> log (25 × 9) - ( log 1/5 )

==> log 255 - ( log 1 - log 5 )

==> log ( 255/20 ) + log 5

==> log ( 255/20 × 5 )

==> log ( 255 / 4 )

Answer 2

Answer:

Here's your answer!