Answer:
x = 0.6655
Step-by-step explanation:
Given equation:
11³ˣ = 120
now,
taking the log both sides, we get
log(11³ˣ) = log(120)
now,
we know the property of the log function that
log(aᵇ) = b×log(a)
therefore,
applying it on the above equation, we get
3x × log(11) = log(120)
now,
log(11) = 1.0414
and,
log(120) = 2.0791
thus,
3x × 1.0414 = 2.0791
or
3x = 1.9965
or
x = 0.6655
