Exponential & Logarithmic Equations Worksheet With Answers - Math 11009, Section 5.3 Page 3
ADVERTISEMENT
1
2
3
4
5
6
7
8MATH 11009: EXPONENTIAL & LOGARITHMIC
EQUATIONS SECTION 5.3
3
Example 3. Rewrite each expression as a single logarithm.
(a) 3 ln x
5 ln(x + 2) + 7 ln(x
9)
1
(b) 4 log x
[log(x + 1) + log(4x
5)]
2
Change of Base Formula: If b > 0, b = 1, a > 0, a = 1, and x > 0, then
log
x
b
log
x =
a
log
a
b
In particular, for b = 10 and b = e,
log x
ln x
log
x =
and
log
x =
a
a
log a
ln a
Example 4. Use the change of base formula to calculate log
11 to four decimal places.
9
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education