Whether it is possible to present the sum of two composed, as work of these composed?

**d425473** · March 29th 2012, 12:00 AM

Whether it is possible to present the sum of two composed, as work of these composed, erected in some degrees: $a+b = a^{f(x)}b^{g(y)}$
$f(x)=?$
$g(y)=?$

**Amer** · March 30th 2012, 08:21 AM

$a+b = a^{f(x)}b^{g(y)}$

$\ln (a+b) = \ln (a^{f(x)}b^{g(y)})$

$\ln (a+b) = \ln(a^{f(x)} ) + \ln (b^{g(y)})$

$\ln(a^{f(x)} ) = \ln (a+b) - \ln (b^{g(y)})$

$f(x) = \frac{ \ln\left( \frac{a+b}{b^{g(y)}}\right))}{\ln (a) }$

same way u can find g(y)

Math Help - Whether it is possible to present the sum of two composed, as work of these composed?

LinkBack

Thread Tools

Display

Whether it is possible to present the sum of two composed, as work of these composed?

Re: Whether it is possible to present the sum of two composed, as work of these compo

Similar Math Help Forum Discussions

Whether it is possible to present the sum of two composed, as work of these composed?

Finding a 3D rotation that composed with another rotation R results in < angle than R

[SOLVED] Expectancy (mean) of Probability density function composed of delta/rect function

Domain and range of composed functions

Jacobian of a composed function+chain rule

Search Tags