Answer:
x=1
Step-by-step explanation:
We have
3^(2x+3) * 3^(x-2) = 81
We know that a^m * a^n = a^(m+n)
Therefore, as the base numbers are the same, 3, we can say that
3^(2x+3) * 3^(x-2) = 3^(2x+3+(x-2)) = 3^(3x+1) = 81
Given this, we can find that
log₃81 = 3x + 1
4 = 3x + 1
subtract 1 from both sides to isolate the variable and its coefficient
3 = 3x
divide both sides by 3 to isolate x
x = 1
