Wednesday

April 1, 2015

April 1, 2015

Posted by **Jus** on Tuesday, May 19, 2009 at 7:51pm.

log_b (a) = c, and log_y (b) = c, then log_a (y)=c^-2

- Exponential Functions -
**Reiny**, Tuesday, May 19, 2009 at 8:31pmrecall

log_{b}a = log a/log b (base 10, or any other base for that matter)

so log_{b}(a) = loga/logb = c

and log_{y}(b) = logb/logy = c

then [loga/logb][logb/logy] = (c)(c) = c^2

so loga/logy = c^2 or

logy/loga = 1/c^2 = c^-2

but logy/loga = log_{a}(y)

so log_{a}(y) = c^-2 as required.

**Answer this Question**

**Related Questions**

Math - Show that if log_b (a) = c, and log_y (b) = c, then log_a (y)=c^-2

math - Solve this equation. Verify your solution using a graphing utility. log_a...

algebra - 2. The level of thorium in a sample decreases by a factor of one-half ...

ALGEBRA - Select all statements that are true. (log_b\(A\))/(log_b\(B\))=log_b\(...

Precalc - Are exponential equations the same as exponential functions? I am ...

functions (easy explanation) - I have a very quick question about exponential ...

ALGEBRA - (log\(A\))/(log\(B\)) = (ln\(A\))/(ln\(B\)) (log_b\(A\))/(log_b\(B\))=...

exponential functions in math - my daughter needs some help studying for a unit ...

solving exponential functions - solve: 2^7-x = 1/2 *show all steps please !

math - 1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show ...