- #1

Monocerotis

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**Solving Exponential Equations SO CONFUSED !?!**

## Homework Statement

I'm trying to solve problems like these

a) 2(3

^{y-2}) = 18

b) 27(3

^{3x+1}) = 3

c) 2

^{x+2}- 2

^{x }= 48

d) 10

^{z+4 }+ 10

^{z+3}= 11

## Homework Equations

Laws of exponential values.

## The Attempt at a Solution

b) 2(3

^{y-2}) = 18

6

^{y-2}= 18

Stuck/Confused.

Maybe there's something fundamental I'm forgetting or making overly complicated. If you divide 18 by 3 to make it 6 so then you could just work with the exponential values to solve for y, wouldn't you also have to do the same thing to 2(3

^{y-2}) (or) 6

^{y-2}

For say a problem like this

3(5

^{x+1}) =15

15

^{x+1}= 15

Now you have both bases balanced, you can work to solve for x

x+1 = 0 ?

x = 0 - 1

x = -1

That would then mean 15

^{0}= 15, which doesn't work out because anything to an exponential value of 0 is 1, correct ?