Show that if

logb(a)=c and

logy(b)=c, then

loga(y)=c^-2

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- January 13th 2010, 04:40 AMKingV15Proving
Show that if

logb(a)=c and

logy(b)=c, then

loga(y)=c^-2 - January 13th 2010, 05:33 AMGrandad
- January 13th 2010, 10:15 AMSoroban
Hello, KingV15!

Good job, Grandad!

You used my favorite approach.

Here's another . . .

Quote:

Show that if: .

. . then: .

Base-change Formula: .

Multiply [3] by [4]: .

. . Therefore: .