Solve 4 log₁₂ 2 + log₁₂ x = log₁₂ 96.

Solution:

Given equation is:

4 log₁₂ 2 + log₁₂ x = log₁₂ 96.

From logarithmic property,

We know that alog x = log x^a and log x + logy = log xy

log₁₂ 2⁴ + log₁₂ x = log₁₂ 96

log₁₂ (16x) = log₁₂ 96

Apply anti-log on both sides

16x = 96

x = 6

Solve 4 log₁₂ 2 + log₁₂ x = log₁₂ 96.

Summary:

By solving 4 log₁₂ 2 + log₁₂ x = log₁₂ 96, we got x = 6.