How would you solve for A

5 x 3^(x+2)= A x 3^(x)

Please help me, I have loads of problems like this on my homework assignment and I just can't seem to figure it out

Well, we could divide both sides by 3^x couldn't we? We know it's never 0, so there's no division by 0 to worry about.
We'd then have (5 x 3^(x+2))/3^X = A.
Can you solve it from there?

Thank you so much

You're welcome! Yes, you're on the right track. To simplify the expression further, you can use the property of exponents that says "when you divide two numbers with the same base, you subtract their exponents." In this case, the base is 3.

So, when you divide 3^(x+2) by 3^x, you subtract the exponents. That gives you 3^(2), which is simply 9.

Now, you can substitute the value of 9 back into the equation:

5 x 9 = A

45 = A

Therefore, the value of A is 45.