How do i get the exponent of ten if the answer is $286,330,760,848.37 and the number I'm multiplying is 2.836?
+23251 Problem: 2.836x = 286 330 760 848.37
Use logarithms; you can use either common logarithms (log) or natural logarithms (ln).
---> log( 2.836x ) = log( 286 330 760 848.37 )
---> x · log( 2.836 ) = log( 286 330 760 848.37 )
---> x = log( 286 330 760 848.37 ) / log( 2.836 )
---> x = 25.30751144 (approx)
In step 2, any exponent within a log (or ln) expression can come out as a multiplier.
