Solve 6^x = 24
a. x ≈ 30.84
b. x ≈ 1.77
c. x ≈ 0.56
d. x ≈ 0.23

Question

Solve 6^x = 24 
a. x ≈ 30.84
b. x ≈ 1.77
c. x ≈ 0.56
d. x ≈ 0.23

jackellyn · Answer

Do the natural log (or log) of both sides

ln(6^x)=ln 24
x(ln 6) = ln 24
Divide both sides by (ln 6)
x= ln 24/ ln 6

anonymous · Answer

I see what you guys are doing but these are the answers I was given...

jackellyn · Answer

the answer I gave you, if you put in your calculator x=ln 24/ln 6 it will give you one of the choices. can you do the calculation and say which one it is?

anonymous · Answer

yes! i got 1.79, but the little almost equal sign means it's b. right?

jackellyn · Answer

that is right @J_Kerry2! That sign means "about" so it is about 1.77

jackellyn · Answer

@sabimaru I am not sure there is a rule for what you did.
ln 18 = 2.89037176 while the answer was ~1.77.

anonymous · Answer

thank you so much!

anonymous · Answer

@jackellyn - typed this quickly and miffed...was thinking of ln(a/b) = ln(a)-ln(b).  Sorry for the confusion!

jackellyn · Answer

@sabimaru no problem! i was just making sure you knew :)