Question

16=(1/4)^-2

Answer 1

Is that a true or false?

Answer 2

I need to write this equation in logarithmic form

Answer 3

True!

Answer 4

Ok, so log is simple to convert when written that way. The base that have our exponent is our log base. \[\log_{1/4} \]

Answer 5

-2 is the exponent so would that b the log?

Answer 6

Next, we see what that the equation equals and say that \[\log_{1/4}(10) \]
This is pronounced as log base of 1/4 of 10.

Answer 7

*16

Answer 8

\(\bf 16=\left(\cfrac{1}{4}\right)^{-2}\qquad \qquad log_ab=c\implies a^c=b\qquad thus\\ \quad \\
\large log_{\frac{1}{4}}(16)=-2\)

Answer 9

okay i see it now ty

Answer 10

Finally we see what our exponent is and write that on the other side of the = sign.
\[\log_{1/4}(16)=-2 \].
Think about it this way (1/4)^-2=16.

And that's how you caonvert between logs and exponentials.