Question

the value of log c root c

Answer 1

log c√c=log c(c)^1/2

Answer 2

Given:

$\log _c \sqrt{c}$

We have to find, the value of $\log _c \sqrt{c}$ is:

Solution:

∴ $\log _c \sqrt{c}$

= $\log _c c^{\dfrac{1}{2} }$

Using the logarithm identity:

$\log a^m$ = $m\log a$

= $\dfrac{1}{2}$$\log _c c$

Using the logarithm identity:

$\log _a a$ = 1

= $\dfrac{1}{2}$ × 1

= $\dfrac{1}{2}$

∴ The value of $\log _c \sqrt{c}$ = $\dfrac{1}{2}$

Thus, the value of $\log _c \sqrt{c}$ is equal to " $\dfrac{1}{2}$ ".