Answer:
The answer to your question is x = -0.171
Step-by-step explanation:
Equation
3[tex].^{8x + 4}[/tex] - 5 = 13
Process
1.- Pass -5 to the right side
3[tex].^{8x + 4}[/tex] = 13 + 5
2.- Simplify
3[tex].^{8x + 4}[/tex] = 18
3.- Get logarithm in both sides of the equation
(8x + 4)log 3 = log 18
4.- Pass log 3 to the right side
8x + 4 = log 18 / log 3
5.- Solve for x
8x = log 18/log 3 - 4
x = 1/8 [log 18 / log 3 - 4]
6.- Use the calculator to find x
x = 1/8 [ 1.255/0.477 - 4]
x = 1/8 [ 2.631 - 4]
x = 1/8 [ -1.369]
x = -0.171
