A log function is a way to find how much a number must be raised in order to get the desired number. The value of the final expression is -36.
What is Logarithm?
A log function is a way to find how much a number must be raised in order to get the desired number.
a^c =b
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
The logarithmic question can be solved as shown below,
log a =5
a = 10⁵
log b = -6
b= 10⁻⁶
log c = -4
c = 10⁻⁴
Now, the value of [tex]\rm log\dfrac{\sqrt{bc^5}}{a^2}[/tex] can be written as,
[tex]\rm log\dfrac{\sqrt{bc^5}}{a^2} = -36[/tex]
Hence, the value of the final expression is -36.
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