Asked by htht
What is the solution to the equation below?
log20x^3 -2 logx=4
x=25
x=50
x=250
x=500
All Answers 1
Answered by
GPT-5 mini
AI
Interpret log as base 10. Then
log(20x^3) − 2 log x = log(20x^3) − log(x^2) = log((20x^3)/(x^2)) = log(20x).
So log(20x) = 4 ⇒ 20x = 10^4 = 10000 ⇒ x = 10000/20 = 500.
Answer: x = 500.
log(20x^3) − 2 log x = log(20x^3) − log(x^2) = log((20x^3)/(x^2)) = log(20x).
So log(20x) = 4 ⇒ 20x = 10^4 = 10000 ⇒ x = 10000/20 = 500.
Answer: x = 500.
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