Question

I need some smart people here! A quick exponent question.

Answer 1

\[9^x = 4\]
what is
\[3^{5x}\]

Answer 2

your best option here is to take log of both side

Answer 3

then what?

Answer 4

then solve for x

Answer 5

Doesn't work

Answer 6

This question is a no calculator question.

Answer 7

that is the value of x

Answer 8

That is not right...

Answer 9

Please someone verify my answer of 34

Answer 10

9 is also \( 3^2\)
so you can write
\[ 9^x = 4 \\ 3^{2x} = 4 \]
also, you can rewrite
\[ 3^{2x}= \left(3^x\right)^2 \]
and use that to say
\[ \left(3^x\right)^2 =4\]
take the square root of both sides to get
\[ 3^x=2 \]

Answer 11

if you want 3^5x raise 3^x to the 5th power

in other words
\[ \left(3^x\right)^5= 3^{5x} \]
and you know 3^x is 2

Answer 12

So is the answer 34?

Answer 13

how is it not right?

Answer 14

x=log4/log9=0.63093
now 9^0.63093=4
how is this not right?