Chapter 8
Chapter 8
Chapter 8
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
CHECK Your Understanding<br />
1. Express in logarithmic form.<br />
a) 4 2 5 16<br />
c) 8 0 5 1<br />
e)<br />
b) 3 4 5 81<br />
d) 622 5 1<br />
36<br />
f )<br />
a 1 3 b 3<br />
8 1 3 5 2<br />
5 1<br />
27<br />
2. Express in exponential form.<br />
a) log c) e) log 6 "6 5 1 2 8 5 3<br />
log 3 81 5 4<br />
2<br />
b) log 1<br />
5<br />
d) 216 523<br />
log1<br />
f ) log 10 1 5 0<br />
25 522 6<br />
3. Evaluate.<br />
a) log 55<br />
c) log 2a 1 e)<br />
4 b<br />
b) log 7 1<br />
d) log 7 "7<br />
f) log 2 " 3 2<br />
a) log a 1 10 b 5 x c) log (1 000 000) 5 x e) log x 5 0.25<br />
4. Solve for x. Round your answers to two decimal places, if necessary.<br />
PRACTISING<br />
log 2<br />
3 a 8 27 b<br />
b) log 1 5 x d) log 25 5 x<br />
f)<br />
log x 522<br />
5. Evaluate.<br />
a) log 6 "6<br />
c) log 3 81 1 log 4 64 e) log 5 ! 3 5<br />
b) log 5 125 2 log 5 25 d)<br />
1<br />
log 2<br />
4 2 log 31 f) log 3 "27<br />
6. Use your knowledge of logarithms to solve each of the following<br />
K<br />
equations for x.<br />
a) log 5x 5 3 c)<br />
1<br />
log 4<br />
64 5 x<br />
e) log 5 x 5 1 2<br />
b) log x27 5 3 d) x 522 log1<br />
4<br />
f) log 4 x 5 1.5<br />
7. Graph f (x) 5 3 x . Use your graph to estimate each of the following<br />
logarithms.<br />
a) log 3 17 b) log 3 36 c) log 3 112 d) log 3 143<br />
8. Estimate the value of each of the following logarithms<br />
to two decimal places.<br />
a) log 4 32 b) log 6 115 c) log 3 212 d) log 11 896<br />
466 8.3 Evaluating Logarithms<br />
NEL
Change language