Question

solve 4^(3x)=12

Answer 1

\[3x=\log_4{12}\]

Answer 2

x=0.597493475

Answer 3

how you find x though

Answer 4

do you have a scientific calculator?

Answer 5

ya

Answer 6

it it with base 10 only?

Answer 7

3x=\log_4{12}
\[3x=\frac{\log_{10}12}{\log_{10}4}\]
\[x=\frac{\log_{10}12}{3\log_{10}4}\]

Answer 8

I don't know

Answer 9

so its log 12/log10

Answer 10

its log base10 12 over 3 log base10 4

Answer 11

we can do this in a different way if this is confusing

Answer 12

k, in different waythen

Answer 13

you learn natural logarithm?

Answer 14

ya, I think.

Answer 15

its ln()

Answer 16

yes

Answer 17

so , 4^(3x)=12
take the ln() of both sides,
ln(4^(3x)=ln(12)

Answer 18

That's it?

Answer 19

from a rule,\[ \ln(x^ y) = y \ln(x)\]

So,

\[\ln(4^{3x})=\ln(12)\]

turns into

\[3x\ln(4)=\ln(12)\]

Answer 20

k, then what. I find the ln of 4 and 12 and subtract them

Answer 21

divide both sides by ln(4)

Answer 22

then I divide that answer by 3?

Answer 23

yes

Answer 24

is the answer 0.59749375

Answer 25

yes

Answer 26

thanks

Answer 27

np