Logarithm pa More!

Algebra Level 4

log ⁡ x w = 24 , log ⁡ z w = 40 , log ⁡ x y z w = 10. \log_x w = 24, \\ \log_z w = 40, \\ \log_{xyz} w = 10.

What is the value of log ⁡ y w \log_y w ?


The answer is 30.

Lance Joseph Esquejo by Lance Joseph Esquejo , 25, Philippines

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1 solution

Prince Loomba
Aug 20, 2016

l o g y w log_{y}w . This is calculated by taking reciprocals, adding first 2 and subtracting from 3rd and again taking reciprocal. Answer is 30.

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