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Popular >

simplify ln(10e^{8t})

Solution

simplify

ln (10 e^{8 t})

Solution

ln (10) + 8 t

Solution steps

ln (10 e^{8 t})

Apply log rule:

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

ln (10 e^{8 t}) = ln (10) + ln (e^{8 t})

= ln (10) + ln (e^{8 t})

Apply log rule:

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

ln (e^{8 t}) = 8 t ln (e)

= ln (10) + 8 t ln (e)

8 t ln (e) = 8 t

= ln (10) + 8 t

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Frequently Asked Questions (FAQ)

What is ln(10e^{8t}) ?
The solution to ln(10e^{8t}) is ln(10)+8t