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anonymous
 5 years ago
2^x+3=5^x
If someone could take me step by step in this problem????
anonymous
 5 years ago
2^x+3=5^x If someone could take me step by step in this problem????

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, so in this problem, you have to be familiar with the log function (which i assume you are)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A little, thats what we are learning now

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I know that I have to natural (ln) each side..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I came up with an answer of 2.269 I just know its wrong...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if someone is good with vectors here, so plz give some thought to my question as well.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry, logs are so far back in my math knowledge. im trying to remember the rules

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[2^x+3=5^x\] or \[2^{x+3}=5^x\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Here is my work... maybe someone can check it to see where I went wrong. 2^(x+3)=5^x Then I divided each side by x ln 2 and it left me with: x+3/x=ln5/ln2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohhh i remember how to do it. i thought it was 2^x + 3 instead of 2^(x+3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont know how to write equations on here.... so sorry

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its cool. alright, so log both sides to start. that will get you ln(2^(x+3)) = ln(5^x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then with the logarithm rules, you can bring the exponent of both sides in front. this gives you: (x+3)ln(2) = xln(5)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then you switch things around to get (x+3)/x = ln(5)/ln(2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, I got that. So far, so good

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then you can split the fraction on the left up to make two different ones. It becomes (x/x) + (3/x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or, in other words, (3/x) + 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0OK... right here is where my teacher told us to croos multiply?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0cross sorry. So it gave me x+3/x=2.322/1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0does your teacher want you to get an exact answer? or are decimals okay

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Decimals to the thousandth

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, well i would highly recommend solving for x in exact form first, and then getting the decimal. it's much more pure math. if you have (x/3) + 1 = ln(5)/ln(2) it's very easy to get it to exact form

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just move the 1 over to the right side

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What one? where are you getting the one from?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then it will be 3/((ln(5)/ln(2))+1)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0from the left side. where it says (3/x) + 1 = ln(5)/ln(2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it becomes 3/x = ln(5)/ln(2) 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which becomes 3/((ln(5)/ln(2))1)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0^^ that is equal to x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i believe its 2.269. make sure you plug it in correctly on your calculator.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thats what I had for my answer to begin with?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks for your help.
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