ok. i have done these before, but no one can explain 2 me how to solve a fricken logarithmic equation. so if you guys could help me, it would be AMAZING
ok here it is:
Solve each logarithmic equation.
no that is what i can't find. that is where i am stuck. i know that i have to get the same base, but no matter how many times i do it, i cannot figure it out. i have looked in notes, and in examples, and i dont know what could be put to the fifth to equal 625. the only thing i know is what you already said, and that the answer is -4 (i looked in the back of the book)
how could you not figure it out. just keep multiplying till you get it.
5*5 = 5^2 = 25
5*5*5 = 5^3 = 125
5*5*5*5 = 5^4 = 625 ..........Bingo!
thus we have: $\displaystyle 5^x = \frac 1{5^4}$
$\displaystyle \Rightarrow 5^x = 5^{-4}$ .....................since $\displaystyle \frac 1{x^a} = x^{-a}$
equate the powers, since if the bases are the same, the powers must be the same to have equality
thus, $\displaystyle x = -4$
as desired
it is ok. it doesn't matter too much. if you post in the wrong category, the mods can move your thread to the right one. don't worry about it, just don't do it again.
and also, this site caters to math of all levels. so kids are often on here. we ask you to refrain from cursing for their sake.
were that the case, you could have went to her profile and find the threads she created (as easy as clicking on her name). i already responded to her post. you did it a different way, so i guess it is not so bad.