Question

log(21x^3)−log(7x^2)=3

how to solve for x?

Answer 1

first you'll use the log rule

log(A) - log(B) = log(A/B)

Answer 2

using that rule turns `log(21x^3)−log(7x^2)` into what?

Answer 3

log(21^3/7x^2)=3

Answer 4

21/7=3
log10(3x)=3

Answer 5

good

by default, logs are in base 10. So you don't need to state the base if it's base 10

Answer 6

log(3x) = 3

Answer 7

10^3/3=3x/3 cancels out

Answer 8

answer is x=10^3/3

Answer 9

yep or 1000/3

Answer 10

even though i just solved it myself lmao

Answer 11

nice work