Math, asked by Sayyedsumehra9992, 1 year ago

The value of log10 250+ log 10 8 - log10 2 is

Answers

Answered by MaheswariS
1

Answer:

The value of the given expression is 3

Step-by-step explanation:

Product rule:

log_a(MN)=log_aM+log_aN

Quotient rule:

log_a(\frac{M}{N})=log_aM-log_aN

Power rule:

log_aM^n=n\:log_aM

Now,

log_{10}250+ log_{10}8 - log_{10}2

=log_{10}(250*8) - log_{10}2 (by product rule)

=log_{10}(2000) - log_{10}2

=log_{10}(\frac{2000}{2}) (by using quotient rule)

=log_{10}1000

=log_{10}10^3

=3\:log_{10}10

=3(1)

=3

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