10^(6x) = 93
10⁶ˣ = 93
Take the logarithm of both sides to base 10.
Log₁₀ 10⁶ˣ =Log₁₀ 93
6x * (Log₁₀ 10) = Log₁₀ 93
6x = (Log₁₀ 93) / (Log₁₀ 10)
By laws of logarithm Log₁₀ 10 = 1
6x = (Log₁₀ 93) / 1
6x = Log₁₀ 93 With Calculator Log₁₀ 93 ≈ 1.9685
6x ≈ 1.9685
x ≈ 1.9685/6
x ≈ 0.3281
Option D.
Hope this explains it.
