SOLUTION: -i wasn't sure of how to type in logarithms, i hope you can understand this: -What is the real value of x in the equation log(base=2 argument=24)

SOLUTION: -i wasn't sure of how to type in logarithms, i hope you can understand this: -What is the real value of x in the equation log(base=2 argument=24) - log(base=2 argument=3) = log (

Question 78062: -i wasn't sure of how to type in logarithms, i hope you can understand this:
-What is the real value of x in the equation log(base=2 argument=24) - log(base=2 argument=3) = log (base=5 argument=x)?
-i am preparing for the ACT and we haven't covered logarithms yet. i am trying to learn how to find logarithms, but i still do not understand how to find the value of x.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
a logarithm is essentially an exponent...the base, raised to the power of the logarithm, equals the argument

you can find the log of any argument in any base by dividing the log (common or natural) of the argument by the log of the base...sometimes using natural logs (ln) helps avoid confusion

in your case: ...using rules for logarithms gives...

24/3=8 and since 2^3=8 the first fraction equals 3 giving...3ln(5)=ln(x)...which means 5^3=x...so x=125
RELATED QUESTIONS
What would be the solution for x in the rational equation: x^2/(x-3) = (x+2)/(2x-5) (answered by josgarithmetic)

Can you please help me to solve this equation. I have tried but am getting frustrated. I... (answered by lwsshak3)

I am going to try to write this question so that it is easy to understand...I hope. I am... (answered by jsmallt9)

1) n= 10 2698, 2028, 2474, 2395, 2372, 2475, 1927, 3006, 2334, 2379, i. point... (answered by Theo)

Hello, this question isn't from a book. It is a paper assignment. Please help I am... (answered by 303795)

I am lost on this one. Is there anyone that help me out? Thanks Assume that x, y, z... (answered by stanbon)

I am having problems with this question, please could you help me to understand it? I... (answered by nerdybill)

I wasn't sure what to list this under because it's not algebra, it's just confusing! I... (answered by CubeyThePenguin)

Will you please show the steps to work this problem? If x=-1 and y=2, what is the value... (answered by Fombitz)