2. Draw a quick sketch of log(10x)
(check with gcalc.net)
4. 2112(base 3 ) = ________ base 10
( 68 )
6. 85 (base 10 ) = _________ base 5
(320)
8. log (base 3 ) 94 = ___________ in exponential format
( 3^x = 94 )
10. e^5 = 148.882 is ___________ in log format
( ln(148.882) = 5 )
12. estimate log(base 9 ) 103 and tell your proces1
9^3 = 729 and 9^2 = 81, so log(base 9 ) is between 2 and 3, but much closer to 2, but since it is a log scale, a good guess would be maybe 2.1 or 2.2
14. Rewrite using the log product rule: log(3x^2)
log(3) + log(x) + log(x)
16. Rewrite using log quotient rule: log(x/3)
log(x) – log(3)
18. rewrite: log(5xy/x)
( log(5) + log(x) + log(y) ) – log(x) Note you can still simplify.. before or after you take the logs
20 Rewrite using a single log function: log(z) – (log(5) + log(x) )
log(z/5x)
22 log(x^y) = ____________
y(log(x))
24. Solve: 12^y = 55
log(12^y) = log(55) or y(log(12)) = log(55) or y(1.079) = 1.74 or y = 1.74/1.079 or y = 1.61