Provide an example of the product, quotient, and power properties of logarithm

Step-by-step explanation:

1) The multiplication rule for logarithms states that:

Example:

log⁡(4)+log⁡(4/9)=log⁡(16/9)

2) The division rule for the logarithms states that:

Example:

log⁡(5)-log⁡(6)=log⁡(5/6)

3) The power rule for logarithms state that:

Example:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.