Respuesta :
Answer:
x = 16
Step-by-step explanation:
Given:
log₂(x) = 4
Now,
From the properties of log
logₓ (z)= [tex]\frac{\log(z)}{\log(x)}[/tex] (where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
therefore,
the given equation can be deduced as:
log₂(x) = 4
into,
x = 4²
or
x = 16
Answer:
Given :
[tex]log_{2}X = 4[/tex]
Since, we know that:
[tex]log_{b}Y = X[/tex] ⇔ [tex]Y = b^{X}[/tex]
Therefore , we can compute the above equation as :
[tex]2^{4} = X[/tex]
X = 16
