Question

Expand the logarithmic expression. log(b)squrt(13/73)

Answer 1

$\log_b\sqrt{\dfrac{13}{73}}=\dfrac12\log_b\dfrac{13}{73}=\dfrac{\log_b13-\log_b73}2$

Answer 2

Answer:

$\frac{log_b{13}-log_b{73}}{2}$

Step-by-step explanation:

$log_b{\sqrt{\frac{13}{73}}}$

First we remove the square root

$log_b({\frac{13}{73})^\frac{1}{2}}$

As per log property we can move the exponent 1/2 before log

$\frac{1}{2}log_b{\frac{13}{73}}$

Now we apply log property to expand log (13/73)

log(a/b)= log(a) - log(b)

$\frac{1}{2}log_b{13}-log_b{73}}$

$\frac{log_b{13}-log_b{73}}{2}$