Question

Solve and round to the nearest hundredth please.

Answer 1

The answer to your question is x = -0.171

Explanation:

Equation

3
`.^(8x + 4)` - 5 = 13

Process

1.- Pass -5 to the right side

3
`.^(8x + 4)` = 13 + 5

2.- Simplify

3
`.^(8x + 4)` = 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