Question

solve the equation

9^x = 34

Answer 1

You would use the natural log to find the answer.

ln(9^x) = ln(34) ==> x * ln(9) = ln(34) ==> x = ln(34)/ln(9)

Answer 2

\[\large \log_{b}b^x = x \]
is a property

Answer 3

so confused

Answer 4

you can do it zeldas way using the power property , bringing the x down in front

using the property i posted , take the log base 9 of both sides, and then you change the base formula to get the same thing

Answer 5

\[\huge b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\] and a calculator

Answer 6

in your case \(A=34,b=9\)

Answer 7

oh so 1.605?

Answer 8

idk i didnt do it
want to check?

Answer 9

its right

Answer 10

yes

Answer 11

ok wait

Answer 12

\[16^x = \left(\begin{matrix}1 \\ 4\end{matrix}\right)^{x+3}\]

Answer 13

how do you do this

Answer 14

is that sposed to be a fraction?

Answer 15

yes

Answer 16

\[16=2^4\]right?

Answer 17

yes

Answer 18

next job is to write \[\frac{1}{4}\] as a power of \(2\)
how can you do that?