O-LevelAdditional MathematicsLogarithmic and exponential functions4037/22 · May/June 2014 · Q67 Marks
State the value of u for which lgu = 0.
- (a)(i)State the value of u for which lgu = 0.[1]
- (a)(ii)Hence solve lg|2x + 3|= 0.[2]
- (b)Express 2log315 - (log 5)(log3a), where a > 1, as a single logarithm to base 3.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [B1] 1
- [B1 + B1] x = -1 or -2 as final answers
- [B1*] log₃5 / log₃a seen or implied may be implied by 2log₃15-log₃5
- [B1] 2log₃15 = log₃15² seen or implied
- [B1dep*] log₃15² - log₃5 = log₃(15²/5) not from wrong working
- [B1] log₃45 cao must be 45 not e.g. 225/5 ; with no wrong working seen
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