Question

2log10^5+log10^8-1/2log10^4​

Answer 1

log 5^2 + log8 - log 4^1/2

log (25×8) - log 2

log (200÷2)

log 100

therefore,

2 = answer

your answer is (c)2

hope this helps

plzzzzz mark brainliest plz

Answer 2

Answer:

Option C - $2\log_{10}5+\log_{10}8-\frac{1}{2}\log_{10}4=2$

Step-by-step explanation:

Given : Expression $2\log_{10}5+\log_{10}8-\frac{1}{2}\log_{10}4$

To find : The simplified of the expression ?

Solution :

Expression $2\log_{10}5+\log_{10}8-\frac{1}{2}\log_{10}4$

Applying logarithmic property, $a\log x=\log x^a$

$=\log_{10}5^2+\log_{10}8-\log_{10}4^{\frac{1}{2}}$

$=\log_{10}25+\log_{10}8-\log_{10}2$

Applying logarithmic property, $\log a-\log b=\log (\frac{a}{b})$

$=\log_{10}25+\log_{10}\frac{8}{2}$

$=\log_{10}25+\log_{10}4$

Applying logarithmic property, $\log a+\log b=\log (ab)$

$=\log_{10}(25\times 4)$

$=\log_{10}(100)$

$=\log_{10}(10^2)$

$=2\log_{10}(10)$

$=2\times 1$

$=2$

Therefore, $2\log_{10}5+\log_{10}8-\frac{1}{2}\log_{10}4=2$

So, Option C is correct.