Question

Simplify log₅(y)-4(log₅(r) 2(log₅(t)

a) log₅(y) - 4log₅(r)log₅(t)
b) log₅(y/r) - 4log₅(t)
c) log₅(y) - 2log₅(r)log₅(t)
d) log₅(y/r) - 2log₅(t)

Answer 1

To simplify, we apply the properties of logarithms.

Step-by-step explanation:

To simplify the expression, we can use the properties of logarithms.

a) log₅(y) - 4log₅(r)log₅(t) = log₅(y) - log₅(r´t⁴) = log₅(y/r´t⁴)

b) log₅(y/r) - 4log₅(t) = log₅(y/r) - log₅(t⁴) = log₅(y/r´t⁴)

c) log₅(y) - 2log₅(r)log₅(t) = log₅(y) - log₅(r²t²) = log₅(y/r²t²)

d) log₅(y/r) - 2log₅(t) = log₅(y/r) - log₅(t²) = log₅(y/r²t²)