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Evaluate the logarithm. ln=1/√e^3
4 months ago
Q:
Evaluate the logarithm. ln=1/√e^3
Accepted Solution
A:
Answer:option b-3/2Step-by-step explanation:Given in the question an expression ln[tex]\frac{1}{\sqrt{e^3} }[/tex]First apply logarithm divide rule [tex]ln\frac{1}{\sqrt{e^3} }[/tex] = ln1 - ln√e³ln(1) = 0soln1 - ln√e³ = 0 - ln√e³-ln√e³ = -ln(e³)^1/2Apply logarithm power rule - ln(e³)^1/2 = -lne[tex]^\frac{3}{2}[/tex] -3/2ln(e)As we know thatln(e) = 1so,-3/2(1)-3/2