Respuesta :
Answer:
x = 0.125
Step-by-step explanation:
Given:
log₃(x²) = 1
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:
log₃(x²) = 1
or
2log₃(x) = 1
or
log₃(x) = 0.5
into,
x = 0.5³
or
x = 0.125
Answer:
x = 9
Step-by-step explanation:
given,
log₃ x² = - 4
using logarithmic identity
logₐ x = b
x = aᵇ
log xᵃ = a log x
converting into exponential form as the base is 3
log₃ x² = 4
2 log₃ x = 4
log₃ x = 2
converting
x = 3²
x = 9
Hence, the solution of X will be equal to x = 9
