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Popular >

simplify ln(ln(4)e^{3x})

Solution

simplify

ln (ln (4) e^{3 x})

Solution

ln (2 ln (2)) + 3 x

Solution steps

ln (ln (4) e^{3 x})

Apply log rule:

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

ln (ln (4) e^{3 x}) = ln (ln (4)) + ln (e^{3 x})

= ln (ln (4)) + ln (e^{3 x})

Apply log rule:

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

ln (e^{3 x}) = 3 x ln (e)

= ln (ln (4)) + 3 x ln (e)

3 x ln (e) = 3 x

= ln (ln (4)) + 3 x

Simplify

ln (4) : 2 ln (2)

= ln (2 ln (2)) + 3 x

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Frequently Asked Questions (FAQ)

What is ln(ln(4)e^{3x}) ?
The solution to ln(ln(4)e^{3x}) is ln(2ln(2))+3x