Solving an exponential equation by taking the log of both sides

[@brianmclogan]

log base 3 of three is equal to one, so as long as you take the log base three one both sides you produce equivalent equations. In other words I took the log of base three to both sides. Its okay because I did it to both sides. I choose to take the log of base 3 because it would only leave me x on the left side, therefore allowing me to solve for my variable

[@brianmclogan]

your welcome

[@GreaterDeity]

Hey don't get frustrated bro! Remember that your students haven't been studying math as long as you. They might be having the same road blocks that you used to have a long time ago. So, just be patient with them. I still don't quite understand logarithms myself! :(

[@willcussins5018]

shut up

[@Maluras13]

Accidently stumbled across the log definition "proof" I needed! Thanks :)

[@AshleyHillebold]

thank you! this helped a lot. i couldn't figure out that you had to change the base of the log when you log both sides until now

[@brianmclogan]

perfect! happy to help you out

[@PopaDom212]

What about X^3/4 = 2? How do I solve it?

[@benkao8253]

you can basically move the 3/4 exponent to the other side of the equation becoming a power of 2, only you have to take the reciprocal of the fraction: so X=2^4/3 . And x~2.52

[@qamarz125]

Thanks for the help!!

[@cloudenvying]

this guy's doing a pretty good impression of Kraftwerk's The Man Machine cover.

[@thatomofolo452]

Exactly 💯

[@GreaterDeity]

What's the process behind getting that log3 in the denominator: I am not catching that one.

[@reillyodonnell4276]

For anyone who like me and Shean were confused about this: this is called the "Change of Base Rule." Which is one of the "Rules" for logarithms. Google it if you want to see more examples!

[@artloverrarts]

thank u so much

[@aqmi]

Thank u

[@jacobchizek1300]

good stuff

[@irwandasaputra9315]

3^x=3^2 x=2

[@turtlecat2158]

wowwww thank u

[@tierrarichardson6129]

Yay😂☺☺

[@bobwilton7553]

stop giving him starey eyes!

[@ganda3454]

x=2