Question

how would I solve 5^[x+2] + 5^x = 24

Answer 1

Index Rule:
\[5^{x+2} = 5^{x}\times5^{2}\]

Answer 2

dont understand, what happened to the 24?

Answer 3

Use the index rule to factor out the 5^x.

Answer 4

\[(5^{2} \times 5^{x})+ 5^{x} = 24\]

Answer 5

um okay, than what?

Answer 6

So, when you factor out the 5^x you get:
\[ 5^x(5^2+1)=5^x*26=24 \]

Answer 7

\[5^{x} = \frac{ 24 }{ 26 }\]

Answer 8

still confsued
but thanks anyways

Answer 9

Which step confuses you?

Answer 10

Where you are confused?