Answer:
100000
Step-by-step explanation:
Since we have the natural base of the log, the base is 10.
Now think of it this way, since we are solving for the value that is being "logged" we can say 10 to the power of 5 equals what?
And since 10^5 is 100000, x is 100000.
The value of x is 100000.
A logarithm helps us know by what power a number must be raised to get the desired number.
A natural log is a log with base 10.
For example,
We want to know by what power must 10 be raised so we get 1000 as an output,
therefore, we can write it as,
[tex]\bold{log_{10} 1000 = 3}[/tex]
[tex]\bold{10^3 = 1000}[/tex]
where, 10 is the base meaning number to which power is to be raised,
1000 is the desired number,
And 3 is the answer.
Now, looking at our question,
[tex]\bold{log\ x= 5}[/tex]
can be written as
[tex]\bold{log_{10} x= 5}[/tex]
[tex]\bold{10^5 = x}[/tex]
[tex]\bold{10^5 = 100000}[/tex]
Therefore, 10 is been raised to the power of 5 giving the desired result which is 100,000.
Hence, the value of x is 100000.
Learn more about log:
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