SOLUTION: If log (subscript b)M=x and log (subscript b)N=y, express the following in terms of x and y. A. log(subscript N) b B. log(subscript N) square root of b C. log(subscript M/

Question 196787: If log (subscript b)M=x and log (subscript b)N=y, express the following in terms of x and y.
A. log(subscript N) b
B. log(subscript N) square root of b
C. log(subscript M/N) b
Found 2 solutions by user_dude2008, stanbon:
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
A)

B)

C)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If log (subscript b)M=x and log (subscript b)N=y, express the following in terms of x and y.
A. log(subscript N) b = log(base b)(b)/log(base b)(N) = 1/y
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B. log(subscript N) square root of b = (1/2) log(base N) b =
= (1/2)(1/y) = 1/(2y)
--------------------------------------------------------------
C. log(subscript M/N) b
= [log(base b) b] / [ log(base b)b / log(base b)(M/N)]
= 1/[log(base b)M - log(base b)N]
= 1/[x-y]
=====================
Cheers,
Stan H.

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