Question

If LogpA = LogqA , where p, q, A € N, then is p = q ?

Step by Step Explanation:-

Answer 1

Answer:

$\sf \log_p A = \log_q A$

$\large \frac{\log A}{\log p} = \frac{\log A}{\log q}$

$\large \log p = \log q$

$\sf{p} = \sf{q}$

Answer 2

$\underline\red{\bold{Explanation}}$

$\underline\red{\bold{Given}}$

• Log pA = Log qA

SOLUTION

$log(pA) = log(qA) \\ \implies \: log(p) + log(A) = log(q) + log(A) \\ \implies log(p) = log(q) \\ \implies \: p = q$

$\blue{\texttt{HENCE PROVED}}$

p = q