Find the values of the following log 1000 10
Answers
The answer is 3.
You can do this in 2 different ways.
One is to just plug it in your calculator, and the other is by hand.
By hand, you need to know that
log
is the same thing as
log
10
.
Therefore, if you rewrite the problem as such, you get:
log
10
1000
= ?
From here, it would be a lot easier to solve this problem by converting the logarithm into exponential form (which is simply something with an exponent, like
5
2
)
To understand how to do this, refer to the image below:
Logarithmic form and exponential form from moodle2.rockyview.ab.ca.
Logarithmic form and exponential form from moodle2.rockyview.ab.ca.
So therefore we can rewrite the problem as:
10
?
=
1000
And if you know your exponents right, you'll know that
10
3
=
1000
Hence, the answer is 3.
and log 10 is 1.
3...........
HOPE IT HELPS YOU