MATHEMATICS PROBLEM SOLVER

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Monday, 24 February 2014

LOGARITHMS B33

If log_x625 + log₃27 = 7; find x

solution

log_x625 + log₃27 = 7

log_x625 + log₃3³ = 7

log_x625 + 3log₃3 = 7

log_x625 + 3 x 1 = 7

log_x625 + 3 = 7

log_x625 = 7- 3

log_x625 = 4

625 = x⁴

5⁴ = x⁴ Powers cancel out

x = 5

Hence x = 5.

MATHEMATICS PROBLEM SOLVER

Monday, 24 February 2014

LOGARITHMS B33

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