Is it at all possible to rearrange this equation to make c the subject. My dad and I believe it is possible but I am unable to correctly rearrange for c.
2 Answers
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This is done using your basic log rules. The main rule to use is: $$y=log_b(x)=>x=b^y$$
So in your case:
$$(a*b)^c=d$$ $$clog(ab)=log(d)$$ $$c=\frac{log(d)}{log(ab)}$$ $$(c=log_{ab}(d))$$
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$\begingroup$ Awesome thank you i'd forgotten that logs could be used this way :) $\endgroup$– BayylsNov 16, 2015 at 6:28
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Hint: It is possible, but you'll need a logarithm to do it.
Logarithms are the inverses of exponents. If $\log_x(y)=z$, then $x^z = y$; that's the definition of a logarithm.
Can you find what x, y, and z should be in your equation?