Given that log(7) = 0.8451, find the value of the logarithm:

log (1/7000)

Hello there!

Let's use some relations:

log(a*b) = log(a) + log(b)

log(a/b) = log(a) - log(b)

log(1) = 0

log(a^b) = b*log(a)

now, we know that log(7) = 0.8451.

we want to finde log(1/7000)

log(1/7000) = log(1) - log(7000) = 0 - log(7000)

=- log(7*1000)

we can write 1000 as 10^3

=- (log(7) + log(10^3)) = -(0.8451 + 3*log(10))

and log(10) = 1

then we have:

-(0.8451 + 3*log(10)) = -(0.8451 + 3*1) = -3.8451

1. 34

2. 268

3. x=14.4

step-by-step explanation:

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540