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Popular >

simplify ln(1.9*e^{300})

Solution

simplify

ln (1.9 \cdot e^{300})

Solution

ln (1.9) + 300

+1

Decimal Notation

300.64185 \dots

Solution steps

ln (1.9 e^{300})

Apply log rule:

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

ln (1.9 e^{300}) = ln (1.9) + ln (e^{300})

= ln (1.9) + ln (e^{300})

Apply log rule:

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

ln (e^{300}) = 300 ln (e)

= ln (1.9) + 300 ln (e)

300 ln (e) = 300

= ln (1.9) + 300

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Frequently Asked Questions (FAQ)

What is ln(1.9*e^{300}) ?
The solution to ln(1.9*e^{300}) is ln(1.9)+300