1/729=243^6t-4

Question

1/729=243^6t-4

parthkohli · Answer

Hi.  You can express 1/729 as$$3^{-6}$$and 243 as$$3^5$$Does that help?

timaashorty · Answer

$$\frac{ 1 }{ 729} = 243^6t-4$$
or
$$\frac{ 1 }{ 729 }=243 ^{6t} -4?$$

parthkohli · Answer

@timaashorty My best assumption is$$243^{6t - 4}$$

anonymous · Answer

im having a hard time making it look right, yes parthKohli that's it

anonymous · Answer

@ParthKohli  I really don't understand

parthkohli · Answer

OK, let me explain.  To solve equations like this when the variable is in the power, you can express both the numbers in both the sides with exponents of the same number.  For example, if you are to solve$$27 = (1/3)^{x}$$Then first express both 27 and 1/3 with the powers of the same number.  Here, we can express 27 as $3^3$ and $1/3$ as $3^{-1}$.  Now, we have$$3^3 = (3^{-1})^x$$$$\Rightarrow 3^3 = 3^{-x}$$But if both of these are equal, then the exponents must be equal too!  So$$3^3 = 3^{-x} \Rightarrow 3 = -x\Rightarrow x=-3$$

parthkohli · Answer

Does the original question make sense to you now?

anonymous · Answer

yes thank you very much

parthkohli · Answer

what is your ans?