Answer:
log (x¹⁰y⁷ / z³ )
Step-by-step explanation:
3 logarithmic identities that you need to know
Assuming all base 10, (i.e log a = log₁₀ a)
1) log(a/b) = log (a) - log (b)
2) log (ab) = log (a) + log (b)
3) a log (b) = log (b)ᵃ
in our case,
10 log x + 7 log y - 3 log z (applying identity #3 above)
= log x¹⁰ + log y⁷ - log z³ (applying identity #2 above)
= log (x¹⁰y⁷) - log z³ (applying identity #1 above)
= log (x¹⁰y⁷ / z³ )
