Question

\[\LARGE y=10^{5\log _{10}x} \]

Answer 1

\[\LARGE y=10^{5\log _{10}x }\]

Answer 2

Attempt:
\[\LARGE logy=5logxlog10\]

Answer 3

\[\LARGE \frac{dy}{dx}=ylog10 \frac{5}{x}\]

Answer 4

\(\huge a^{\log_ax}=x\)

Answer 5

:O

Answer 6

\(\LARGE y=10^{5\log _{10}x }=\LARGE 10^{\log _{10}x^5 }=x^5\)

Answer 7

:O

Answer 8

came across it first time o.o

Answer 9

if you want to prove that,
take log on both sides of that equation,
and use log_p q = log q/log p

Answer 10

I took logs on my attempt^
are u referring to that?

Answer 11

i was saying if you want proof of that 5th ptoperty which i used here also, u take log
for this Q, u directly get y=x^5

Answer 12

\[\LARGE y=10^{5logx} \]

Answer 13

5 log x = log (x^5)

Answer 14

\[\LARGE 5\log _{10}xlog10\]
that is what we get on taking logs

Answer 15

why did u take log for this Q ?

Answer 16

:o

Answer 17

i see !