SOLUTION: https://imgur.com/a/nHNVzJD Find log(base z)w

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Question 1153082: https://imgur.com/a/nHNVzJD Find log(base z)w
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



-----------------------------------




.....eq.1a





....eq.2a





....eq.3a


from 1a and 2a we have



..............1b

from 1a and 3a we have


.........2b

from 2a and 3a we have




...........3b

from 1b and 2b we have









.......1c


from 3b and 1c we have





.......square both sides

...........2c

go to
.......1c, use 2c


....................3c

go to
.........2b, use 2c



go to
.........2b, substitute and














now find base :



go to ......eq.3, substitute



.....if log same
.........3c


then will be




Answer by ikleyn(52879)   (Show Source): You can put this solution on YOUR website!
.

You are given


     = ,   = ,   = .    (1)


They want you find .


Solution


From (1), you have, using the change of base formula


     = ;   =   and   = .


Transform the last equation


     =  =  +  +  =  +  + .


It implies


     =  -  -  =  =  = .


Hence,   =  =  = 60.


ANSWER.   = 60.

Solved.


T h a t ' s     a l l.


            +---------------------------------------------------------+
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            +---------------------------------------------------------+


For your safety,  IGNORE  everything that  @MathLover1 wrote in her post.


This woman demonstrates extreme activity,  but solves many problems  INCORRECTLY,  or in a way,
which is not adequate and/or is not effective.

Unfortunately.

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