11^x=12 In terms of logarithms

Question

anonymous · Answer

$$b^x=y\iff x=\log_b(y)$$

anonymous · Answer

you should be able to  switch back and forth quickly

anonymous · Answer

by "should" i mean it would help you immensely in your math class if you can go back and forth without agony

anonymous · Answer

yeah still work in progress haha just started learning them

anonymous · Answer

i keep getting the incorrect answer I am unsure of how to enter it into the calculator. DO i have to type 11 before the log(12)?

anonymous · Answer

it is not a calculator exercise unless you are solving for x

anonymous · Answer

Iforgot to mention that I am solving for x, sorry.

anonymous · Answer

oh i misread. you are solving for x right?

anonymous · Answer

ok then 
$$b^x=y=\iff x=\frac{\ln(y)}{\ln(b)}$$

anonymous · Answer

change 'o base formula

anonymous · Answer

$$x=\frac{\ln(12)}{\ln(11)}$$

anonymous · Answer

ohhhhh i see! how did you know to change it to natural log/natural log?

anonymous · Answer

You could have used $$\log_{10} $$You get the same answer.
$$x=\log_{10}12/\log_{10}11  $$