Question

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

Answer 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)

$=log_{10}1000$

$=log_{10}10^3$

$=3\:log_{10}10$

$=3(1)$

$=3$