How do you solve 4^ { 3x - 9} - 10= - 3?

1 Answer
Mar 28, 2018

x = {log_4(7) + 9}/3 approx 4.4

Explanation:

4^{3x -9} - 10 = -3

4^{3x -9} = 7 //add 10 to both sides

3x -9 = log_(4) 7 //log_4 on both sides (log_a(a^{x})=x)

3x = log_4(7) + 9 //add 9 to both sides

x = {log_4(7) + 9}/3 //divide both sides by 3