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How is $a^x$ defined (without using Logarithm) for $a<0$?

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#exponential-function
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initial guess for fitting exponential with offset

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#calculus #exponential-function #regression
595
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Proving of exponential equation

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#algebra-precalculus #exponential-function #systems-of-equations #exponential-sum
126
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A mathmatical way to solve for $x$ in $(a + b)^2 = a^x + b^x$

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#exponential-function
83
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other functions the look similar to the hyperbolic sine function

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#functions #exponential-function #special-functions #hyperbolic-functions
111
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Solving equation with exponential, not numerically

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#exponential-function #roots
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Obtaining derivative of log of sigmoid function

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#derivatives #logarithms #exponential-function
244
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Why $e^{iπ}=-1$ and not $e^{180i}=-1$?

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#complex-analysis #exponential-function
213
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Solve $(2^x+3^x+5^x)^3=160^x$

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#algebra-precalculus #functions #exponential-function #exponentiation #radicals
1.3k
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A history of logarithms and exponential functions

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#logarithms #exponential-function #math-history
270
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Exponential function 1st degree function

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#exponential-function
43
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Prove (without derivatives) that for any $b\in \mathbb{R}$, $b>1$, that $ b^x >1$ for all $x\in \mathbb{R}$, $x>0$

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#real-analysis #inequality #exponential-function #exponentiation
217
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Solve the following equation for x

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#logarithms #exponential-function
9.8k
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Taylor expansion of $x^x$ at $x = 0$

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#calculus #limits #logarithms #taylor-expansion #exponential-function
22.2k
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Can anyone help me with a graph: exponential but never reaches 1

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#exponential-function

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