Question

Solve the equation of log↓a 16 = -4

Answer 1

\(log_a 16=-4\)
\(a^{-4}=16\)
\[\frac{1}{a^4}=16\]
\[a^4=\frac{1}{16}\] what do you think a could be?

Answer 2

There's another way to solve it too

Answer 3

first way looks the best

Answer 4

I keep getting answers like 8 and 4

Answer 5

\(log_x 16=-4\)
\[\frac{log(16)}{log(x)}=-4\]
\[log(x)=\frac{log(16)}{-4}\]
\[x=10^{log(16)/-4}\]

Answer 6

but this method is more cumbersome I find

Answer 7

and requires a calculator

Answer 8

\(a^4=16\)... is you put a=2 it works. But here, we have
\[a^4=\frac{1}{16}\]

Answer 9

Ohhh I see now @kirbykirby

Answer 10

:)