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Popular >

simplify ln(7e^{3t-4})

Solution

simplify

ln (7 e^{3 t - 4})

Solution

ln (7) + 3 t - 4

Solution steps

ln (7 e^{3 t - 4})

Apply log rule:

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

ln (7 e^{3 t - 4}) = ln (7) + ln (e^{3 t - 4})

= ln (7) + ln (e^{3 t - 4})

Apply log rule:

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

ln (e^{3 t - 4}) = (3 t - 4) ln (e)

= ln (7) + (3 t - 4) ln (e)

(3 t - 4) ln (e) = 3 t - 4

= ln (7) + 3 t - 4

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Frequently Asked Questions (FAQ)

What is ln(7e^{3t-4}) ?
The solution to ln(7e^{3t-4}) is ln(7)+3t-4