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How do you simplify #ln(e^4x^(3t))#?

1 Answer

Dec 15, 2015

#4+3tln(x)#

Explanation:

Use the logarithm rule: #log_a(bc)=log_a b+log_a c#

#ln(e^4x^(3t))=ln(e^4)+ln(x^(3t))#

Now, use the logarithm rule: #log_a (b^c)=c*log_a b#

#4ln(e)+3tln(x)#

Remember that #ln(e)=1#.

#4+3tln(x)#

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