logarithmic transformation from exponential to linear equation
How to convert this exponential equation to linear equation.
Y =exp(17.9348)*x^(-2.705)
what I did is:
Y =log(17.9348)+(-2.705)*log(x)
I am confused with this one.
Y=17.9348+(-2.705)*log(x)
which one is correct transformation?
Thanks in advance!
logarithms linear-transformations transformation
New contributor
add a comment |
How to convert this exponential equation to linear equation.
Y =exp(17.9348)*x^(-2.705)
what I did is:
Y =log(17.9348)+(-2.705)*log(x)
I am confused with this one.
Y=17.9348+(-2.705)*log(x)
which one is correct transformation?
Thanks in advance!
logarithms linear-transformations transformation
New contributor
add a comment |
How to convert this exponential equation to linear equation.
Y =exp(17.9348)*x^(-2.705)
what I did is:
Y =log(17.9348)+(-2.705)*log(x)
I am confused with this one.
Y=17.9348+(-2.705)*log(x)
which one is correct transformation?
Thanks in advance!
logarithms linear-transformations transformation
New contributor
How to convert this exponential equation to linear equation.
Y =exp(17.9348)*x^(-2.705)
what I did is:
Y =log(17.9348)+(-2.705)*log(x)
I am confused with this one.
Y=17.9348+(-2.705)*log(x)
which one is correct transformation?
Thanks in advance!
logarithms linear-transformations transformation
logarithms linear-transformations transformation
New contributor
New contributor
New contributor
asked 2 days ago
user3063
1071
1071
New contributor
New contributor
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
The answer is neither! You need to take the logarithm of both sides:
begin{align*}
y&=e^{17.9348},x^{-2.705} \
ln(y)&=lnleft(e^{17.9348},x^{-2.705}right) \
ln(y)&=lnleft(e^{17.9348}right)+lnleft(x^{-2.705}right) \
ln(y)&=17.9348-2.705ln(x).
end{align*}
ok, thank you so much!
– user3063
2 days ago
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
user3063 is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3060688%2flogarithmic-transformation-from-exponential-to-linear-equation%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
The answer is neither! You need to take the logarithm of both sides:
begin{align*}
y&=e^{17.9348},x^{-2.705} \
ln(y)&=lnleft(e^{17.9348},x^{-2.705}right) \
ln(y)&=lnleft(e^{17.9348}right)+lnleft(x^{-2.705}right) \
ln(y)&=17.9348-2.705ln(x).
end{align*}
ok, thank you so much!
– user3063
2 days ago
add a comment |
The answer is neither! You need to take the logarithm of both sides:
begin{align*}
y&=e^{17.9348},x^{-2.705} \
ln(y)&=lnleft(e^{17.9348},x^{-2.705}right) \
ln(y)&=lnleft(e^{17.9348}right)+lnleft(x^{-2.705}right) \
ln(y)&=17.9348-2.705ln(x).
end{align*}
ok, thank you so much!
– user3063
2 days ago
add a comment |
The answer is neither! You need to take the logarithm of both sides:
begin{align*}
y&=e^{17.9348},x^{-2.705} \
ln(y)&=lnleft(e^{17.9348},x^{-2.705}right) \
ln(y)&=lnleft(e^{17.9348}right)+lnleft(x^{-2.705}right) \
ln(y)&=17.9348-2.705ln(x).
end{align*}
The answer is neither! You need to take the logarithm of both sides:
begin{align*}
y&=e^{17.9348},x^{-2.705} \
ln(y)&=lnleft(e^{17.9348},x^{-2.705}right) \
ln(y)&=lnleft(e^{17.9348}right)+lnleft(x^{-2.705}right) \
ln(y)&=17.9348-2.705ln(x).
end{align*}
answered 2 days ago
Adrian Keister
4,79851933
4,79851933
ok, thank you so much!
– user3063
2 days ago
add a comment |
ok, thank you so much!
– user3063
2 days ago
ok, thank you so much!
– user3063
2 days ago
ok, thank you so much!
– user3063
2 days ago
add a comment |
user3063 is a new contributor. Be nice, and check out our Code of Conduct.
user3063 is a new contributor. Be nice, and check out our Code of Conduct.
user3063 is a new contributor. Be nice, and check out our Code of Conduct.
user3063 is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3060688%2flogarithmic-transformation-from-exponential-to-linear-equation%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown