Question

if log(10)36=y
what does log(10)36000 equal

note:(10) is base here

options:-
y
y+1000
1000
y+3​

Answer 1

Answer:

log base10 of 10 pow 3=3

log(10)1000=3

log(10)36000= log(10)36+log(10)1000=3+y

Answer 2

The correct option is 4.

Step-by-step explanation:

Given information: $\log_{10}36=y$

We need to find the value of $\log_{10}36000$.

The given expression can be rewritten as

$\log_{10}36000=\log_{10}(36\times 1000)$

$\log_{10}36000=\log_{10}(36\times 10^3)$

Using the properties of logarithm we get

$\log_{10}36000=\log_{10}(36)+\log_{10}10^3$     $[\because \log(ab)=\log a+\log b]$

$\log_{10}36000=y+3$     $[\because \log_a(a^b)=b]$

Therefore, the correct option is 4.

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