Common and Natural Logarithms
Use a calculator to estimate log 15.
1.1761
1.5
0.6667
2.708
Use a calculator to estimate ln 3
0.4771
20.0855
1.0986
1000
Use a calculator to estimate e2.3.
0.8329
9.9742
199.5262
0.3617
Estimate the solution to the exponential equation using logarithms.
7x = 16
1.1293
0.8451
1.2041
1.4248
Use logarithms to estimate the solution to the exponential inequality.
7p + 2 ≤ 135 – p
p ≥ -14.4303
p ≤ 0.2688
p ≤ 1.9803
p ≤ 7.6001
Use a calculator to estimate log4 30.
1.4771
3.4012
0.6021
2.4534
Which of the following is equal to ? Assume a ≠ 1
log 15 – log a
loga 15
log15 a
ln 15 – ln a
Write the logarithmic equation in exponential form.
ln 16 ≈ 2.7726
e16 ≈ 2.7726
102.7726 ≈ 16
e2.7726 ≈ 16
1016 ≈ 2.7726
Solve the equation. Round to the nearest ten-thousandth.
3ex – 1 = 0
x = 1.0986
x = -1.0986
x = -0.9102
x = 0.9102
Solve the inequality. Round to the nearest ten-thousandth.
e4x ≥ 16
x ≥ 0.6931
x ≥ 2
x ≥ 4
x ≥ -1.2274