Base E and Natural Logarithms

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

15 Slides • 4 Questions

Base e and Natural Logarithms

Solve the logarithm

ln(x) = 5
e^ln(x)= e⁵
x = e⁵(Exact solution)
x = 148.4132 (Approximate solution)

Solve the logarithm

ln(x + 15) = 3
e^{ln(x + 15)}= e³
x + 15 = e³
__-15 -15
x = e³ - 15
x = e³- 15(Exact solution)
x = 5.0855 (Approximate solution)

Multiple Choice

Which of the following is the value of x given;
e^(x + 6) = 12

x = ln 6

x = -6 + ln12

x = ln72

x = ln(-2)

Multiple Choice

Solve the following logarithm to find the approximate answer.

Round to 4 decimal places.

$\ln\left(x\right)=-4$

x = 0.0183

x = 1.0183

x = 1/4

x = -4

Multiple Choice

Solve the following logarithm to find the exact answer.

$\ln\left(x\right)=-4$

x = e^-4

x = e⁴

4 = e^x

1/4 = e^-4

Multiple Choice

Solve the following logarithm to find the exact answer.

$\ln\left(x\right)=3$

x = e³

x = e^x

3 = e^x

3 = e^-3

Base e and Natural Logarithms

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