Question

Solve 4^x = 12

Answer 1

Take the log of both sides, like this:

Answer 2

\[\log4^{x}=\log12\]cuz then you can do this:

Answer 3

\[x \log4=\log12\]and\[x=\frac{ \log12 }{ \log4 }\]

Answer 4

@makaylarrrrrr have you learned about logarithms though? or do you just need to approximate the exponent?

Answer 5

(I personally agree with IMStuck)

Answer 6

x = 1.79 if you do logs.

Answer 7

or precisely, \(\normalsize\color{blue}{ \log_412}\).

Answer 8

\[b^x=A\iff x=\frac{\log(A)}{\log(b)}\] sometimes known as the 'change of base' formula

Answer 9

thank yall so much!

Answer 10

\[5^x=7\iff x=\frac{\log(7)}{\log(5)}\]
\[4^x=12\iff x=\frac{\log(12)}{\log(7)}\] you should be able to do this quickly
of course you need a calculator to get the decimal

Answer 11

lol cept i made a typo
\[4^x=12\iff x=\frac{\log(12)}{\log(4)}\]

Answer 12

Just wanted to simplify, and got disconnected,

\(\LARGE\color{blue}{ \frac{\log(12)}{\log(4)} = \frac{\log(4)+\log(3)}{\log(4)}=1+\log_43 }\)

Answer 13

I finished...