To solve the equation 3^x - 3^(x+3) = -78, we can rewrite the term 3^(x+3) as 3^x 3^3 = 27 3^x.
So now, the equation becomes3^x - 273^x = -7Combining like terms-263^x = -78
Divide both sides by -263^x = 3
Since 3^1 = 3, x = 1 is the solution to the equation 3^x - 3^(x+3) = -78.
To solve the equation 3^x - 3^(x+3) = -78, we can rewrite the term 3^(x+3) as 3^x 3^3 = 27 3^x.
So now, the equation becomes
3^x - 273^x = -7
Combining like terms
-263^x = -78
Divide both sides by -26
3^x = 3
Since 3^1 = 3, x = 1 is the solution to the equation 3^x - 3^(x+3) = -78.