MATHEMATICS PROBLEM SOLVER

It is a site for parents, students and teachers. This site can help O-LEVEL or GCSE secondary school students in mastering mathematics subject. It intends to involve the learners by making them follow up the examples before they can do questions on their own at the TRY THIS.... section. There are some videos, tests, quizzes and past examination questions. Learning the examples will ultimately give students the required confidence in solving various questions in mathematics.

Thursday 6 March 2014

LOGARITHMS C2

If log_x625 + log₃81 = 7; find x

Solution

log_x625 + log₃81 = 7

log_x625 + log₃3⁴ = 7 [81=3³ by prime factorization]

log_x625 + 4log₃3 = 7 [since log_aaⁿ= nlog_aa]

log_x625 + (4 x 1) = 7 [log_aa = 1]

log_x625 + 4 = 8

log_x625 = 8- 4

log_x625 = 4

625 = x⁴

5⁴ = x⁴ Powers cancel out

x = 5

Hence x = 5.

MATHEMATICS PROBLEM SOLVER

Thursday 6 March 2014

LOGARITHMS C2

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