If the sum of a number and four is doubled, the result is six less than the number. Find the number
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The extraneous solution of the logarithmic problem is -4.
A log function is a way to find how much a number must be raised in order to get the desired number.
can be written as
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.
Solving the function using the basic logarithmic value, we get,
If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.
Hence, x=-4 is an extraneous solution.
Learn more about Logarithms: