Question

what is logbasex27=-3 explain please

Answer 1

\[\log_{x} 27=-3\]

Answer 2

\[x^{-3}=27\]
is a start

Answer 3

We have
\[ \log_{x} 27=-3\]
we know that
\[ \log_{a} b= c=> b=a^c\]
so here we have
\[ \log_{x} 27=-3\]
\[=> 27= x^{-3}\]
or
\[ 27=(\frac{1}{x})^3\]
We know that3^3=27
so
\[\frac{1}{x}=3\]
we get
\[x=\frac{1}{3}\]

Answer 4

i read the question wrong..

Answer 5

\[x^{-3}=3^3\]
\[x^{-3}=(\frac{1}{3})^{-3}\]

Answer 6

oh i see now thanks for showing the steps