Question

log b base a =c then log a base1/b value

Answer 1

Answer:

-1/c

Step-by-step explanation:

solve and find answers

Answer 2

Answer:

Required value is (-c)

Step-by-step explanation:

Given,

$log_{b}(a) = c$

And

$log_{a}( \frac{1}{b} ) = log_{a}(1) - log_{a}(b) = 0 - log_{a}(b) = - log_{a}(b) = -c$

Here applied formulas are

$log_{r}( \frac{p}{q} ) = log_{r}(p) - log_{r}(q)$

$log_{a}(1) = 0$

Some others formula of logarithm,

$log_{x}( {x}^{y} ) = y$

$log_{r}(pq) = log_{r}(p) + log_{r}(q)$

$log_{p}(q) = \frac{1}{ log_{q}(p) }$

etc.