Answer:
x=500
Step-by-step explanation:
To solve the equation given, we will follow the steps below:
log 20x³ - 2log x=4
using the law of logarithm,
2log x = log x²
so, our equation becomes;
log 20x³ - log x²=4
Also using another law of logarithm;
log 20x³ - log x² = log (20x³/x²)
our equation becomes;
log (20x³/x²) = 4
log 20x = 4
from the definition of logarithm, logarithm is the power of the exponential
10⁴ = 20 x
10000 = 20x
divide both-side of the equation by 20
10000/20 = 20x/20
at the right-hand side of the equation 20 will cancel-out 20 leaving us with just x and the left-hand side of the equation, 10000 will be divided by 20
500 = x
x = 500
