Question

Please I need help on this

Answer 1

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 )