Question

If f(x) = (1/5)^x and g(x) = log(25)(x), find g(f(-1))
*With Attachment*

Answer 1

nice and slow here

Answer 2

what is
\[\left(\frac{1}{5}\right)^{-1}\]??

Answer 3

5

Answer 4

ok good
so finally what is
\[\log_{25}(5)\]?

Answer 5

if that is not clear i can explain it

Answer 6

Um I think it is .5 or 1/2

Answer 7

bingo

Answer 8

Woo

Answer 9

\[\log_{25}(5)\] solve
\[25^y=5\] and since
\[\sqrt{25}=5\\
25^{\frac{1}{2}}=5\]you get \[\frac{1}{2}\]

Answer 10

\[\log_{25} (5)=x\]\[25^x=5\]\[5^{2x}=5\]\[2x=1\]\[x=\frac{1}{2}\]

Answer 11

Thank you both!

Answer 12

there is more than one way to skin a mule

Answer 13

oh haha okay

Answer 14

Sounds excruciatingly painful.

Answer 15

Indeed