Please help on my homework on exponential and logarithmic functions:
Exponential & Logarithmic Function EDIT: Question is on the link
How do you solve this step by step? Exponential and logarithmic function
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algebra-precalculus
exponential-function
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4You could start by using the rule that $\log(A/B) = \log(A) - \log(B)$ (assuming $A$ and $B$ are positive numbers). – 2017-02-19
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0Drop a little work and we will give you some advice. – 2017-02-19
2 Answers
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Familiarize yourself with the basic properties of logarithms.
$$ ln\left(\frac{A}{B}\right) = ln(A) - ln(B) $$ $$ ln(A^x) = x\cdot ln(A) $$ The above should help.
Make sure you understand what a logarithm to the base $e$ is if you do not already and the answer should follow immediately.
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Ans:B
$x-ln(1+e^x)$
write the $x$ in the expression as $ln (e)^x$ so that the expression becomes $ln (e)^x$$-ln(1+e^x)$ that is $ln\frac{ (e)^x}{1+e^x}$ because
$ln(\frac{C}{D}) = ln(C) - ln(D)$