Question

Solve the following equations.
5 ⋅ 11^3x = 120

Answer 1

x = 0.6655

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