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Popular >

simplify ln(-1be^x)

Solution

simplify

ln (- 1 \cdot b \cdot e^{x})

Solution

x + ln (b)

Solution steps

ln (- 1 \cdot b e^{x})

Apply log rule:

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

ln (- 1 \cdot b e^{x}) = ln (1) + ln (b) + ln (e^{x})

= ln (1) + ln (b) + ln (e^{x})

Apply log rule:

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

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

= ln (1) + ln (b) + x ln (e)

ln (1) = 0

x ln (e) = x

= 0 + ln (b) + x

0 + ln (b) + x = ln (b) + x

= x + ln (b)

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Frequently Asked Questions (FAQ)

What is ln(-1*b*e^x) ?
The solution to ln(-1*b*e^x) is x+ln(b)