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Popular >

simplify ln(ce^{G(t)})

Solution

simplify

ln (c e^{G (t)})

Solution

ln (c) + Gt

Solution steps

ln (c e^{G (t)})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (c e^{G (t)}) = ln (c) + ln (e^{G (t)})

= ln (c) + ln (e^{G (t)})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{G (t)}) = Gt ln (e)

= ln (c) + Gt ln (e)

Gt ln (e) = Gt

= ln (c) + Gt

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Frequently Asked Questions (FAQ)

What is ln(ce^{G(t)}) ?
The solution to ln(ce^{G(t)}) is ln(c)+Gt