Change of Base Formula Note the scale of the function: to see its behavior, we must look at a much larger range on the vertical axis. So, __how__ do we __solve__ the problem. We can change any base to a __different__ base any time we want. Solving __Exponential__ Equations using change of base.

**Exponential** growth - pedia __Exponential__ expressions help you fure out __problems__ that do the same thing over and over by using powers, or exponents, to make computation easier. The cat wants to get about 6 inches away — close enough to pounce. An easy way to __solve__ this problem is to find the distance remaining between them after the cat’s first move, which is nine-tenths of the distance before that move. Problem sizes, often between 30 and 100 items most computer algorithms need to be able to *solve* much larger *problems*, up to tens of thousands or even.

*Exponential* and logarithmic functions Algebra II Khan Academy For example, could you add logs to both sides from the beginning and simplify from there? My work:4^(x 2)-4^(x)=15log4^(x 2)-log4^(x)=log15(x 2)(log4)-(x)(log4)=log15xlog4 2log4-xlog4=log15xlog4-xlog4=log15-2log4x(log4-log4)=log15-2log4x= (log15-2log4)/(log4-log4)And that's where I got stuck at. Practice **Solve** **exponential** equations using logarithms base-2 and other **bases**. Learn **how** to **solve** word **problems** that require **exponential** equations.

__Exponential__ Equations - Brainfuse This is not (generally) required, but is often more useful than other options. To *solve* *exponential* equations *without* logarithms, you need to have. *with* like *bases*, the exponents of those *bases* will then be equal to one another.

*Solve* *exponential* equations. - Developmental Math Topic Text Equations __with__ exponents that have the same base can be __solved__ quickly. This is also true for *exponential* and logarithmic equations. Problem. *Solve* e2x = 54. e2x = 54. ln e2x = ln 54. Since the base is e, use the natural logarithm. or the exponents are the same, you can just compare the parts that are *different*.

How to solve exponential problems with different bases:

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